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Journal of K-Theory最新文献

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Remarks on motivic homotopy theory over algebraically closed fields 代数闭域上的动力同伦理论
Journal of K-Theory Pub Date : 2011-02-01 DOI: 10.1017/IS010001012JKT098
P. Hu, I. Kríz, K. Ormsby
{"title":"Remarks on motivic homotopy theory over algebraically closed fields","authors":"P. Hu, I. Kríz, K. Ormsby","doi":"10.1017/IS010001012JKT098","DOIUrl":"https://doi.org/10.1017/IS010001012JKT098","url":null,"abstract":"We discuss certain calculations in the 2-complete motivic stable homotopy category over an algebraically closed field of characteristic 0. Specifically, we prove the convergence of motivic analogues of the Adams and Adams-Novikov spectral sequences, and as one application, discuss the 2-complete version of the complex motivic J -homomorphism.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"7 1","pages":"55-89"},"PeriodicalIF":0.0,"publicationDate":"2011-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS010001012JKT098","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56662668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 51
Comparing Assembly Maps in Algebraic K -Theory 代数K理论中装配映射的比较
Journal of K-Theory Pub Date : 2011-02-01 DOI: 10.1017/IS010001012JKT100
R. Sperber
{"title":"Comparing Assembly Maps in Algebraic K -Theory","authors":"R. Sperber","doi":"10.1017/IS010001012JKT100","DOIUrl":"https://doi.org/10.1017/IS010001012JKT100","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"7 1","pages":"145-168"},"PeriodicalIF":0.0,"publicationDate":"2011-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS010001012JKT100","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56662696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
The Euler characteristic and Euler defect for comodules over Euler coalgebras 欧拉余代数上模的欧拉特征和欧拉缺陷
Journal of K-Theory Pub Date : 2011-02-01 DOI: 10.1017/IS009010019JKT081
D. Simson, D. Simson
{"title":"The Euler characteristic and Euler defect for comodules over Euler coalgebras","authors":"D. Simson, D. Simson","doi":"10.1017/IS009010019JKT081","DOIUrl":"https://doi.org/10.1017/IS009010019JKT081","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"7 1","pages":"91-113"},"PeriodicalIF":0.0,"publicationDate":"2011-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS009010019JKT081","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56662968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Restriction maps in equivariant KK-theory 等变kk理论中的约束映射
Journal of K-Theory Pub Date : 2011-01-10 DOI: 10.1017/is011010005jkt168
Otgonbayar Uuye
{"title":"Restriction maps in equivariant KK-theory","authors":"Otgonbayar Uuye","doi":"10.1017/is011010005jkt168","DOIUrl":"https://doi.org/10.1017/is011010005jkt168","url":null,"abstract":"We extend McClure's results regarding restriction maps in equivariant K-theory to bivariant K-theory: \u0000Let G be a compact Lie group and A and B be G-C*-algebras. Suppose that KKHn (A, B) is a finitely generated R(G)-module for every H ≤ G closed and n ∈ ℤ. Then, if KKF*(A, B) = 0 for all F ≤ G finite cyclic, then KKG*(A, B) = 0.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"9 1","pages":"45-55"},"PeriodicalIF":0.0,"publicationDate":"2011-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is011010005jkt168","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56666401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Brown representability often fails for homotopy categories of complexes 对于配合物的同伦范畴，布朗可表征性常常失效
Journal of K-Theory Pub Date : 2010-12-18 DOI: 10.1017/is011010026jkt167
G. Modoi, J. Šťovíček
{"title":"Brown representability often fails for homotopy categories of complexes","authors":"G. Modoi, J. Šťovíček","doi":"10.1017/is011010026jkt167","DOIUrl":"https://doi.org/10.1017/is011010026jkt167","url":null,"abstract":"We show that for the homotopy category K(Ab) of complexes of abelian groups, both Brown representability and Brown representability for the dual fail. We also provide an example of a localizing subcategory of K(Ab) for which the inclusion into K(Ab) does not have a right adjoint.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"9 1","pages":"151-160"},"PeriodicalIF":0.0,"publicationDate":"2010-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is011010026jkt167","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56666910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Motivic cohomology of quadrics and the coniveau spectral sequence 二次曲面的动机上同性与隐谱序列
Journal of K-Theory Pub Date : 2010-12-01 DOI: 10.1017/IS008008012JKT084
N. Yagita
{"title":"Motivic cohomology of quadrics and the coniveau spectral sequence","authors":"N. Yagita","doi":"10.1017/IS008008012JKT084","DOIUrl":"https://doi.org/10.1017/IS008008012JKT084","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"6 1","pages":"547-589"},"PeriodicalIF":0.0,"publicationDate":"2010-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS008008012JKT084","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56662081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Invariance de la K-théorie par équivalences dérivées 推导等价的k理论不变性
Journal of K-Theory Pub Date : 2010-12-01 DOI: 10.1017/IS009010008JKT094
Denis-Charles Cisinski
{"title":"Invariance de la K-théorie par équivalences dérivées","authors":"Denis-Charles Cisinski","doi":"10.1017/IS009010008JKT094","DOIUrl":"https://doi.org/10.1017/IS009010008JKT094","url":null,"abstract":"The aim of these notes is to prove that any right exact functor between reasonable Waldhausen categories, that induces an equivalence at the level of homotopy categories, gives rise to a homotopy equivalence between the corresponding K -theory spectra. This generalizes a well known result of Thomason and Trobaugh. The ingredients, for this proof, are a generalization of the Waldhausen approximation theorem, and a simple combinatorial caracterization of derived equivalences. We also study simplicial localization of Waldhausen categories. We prove that a (homotopy) right exact functor induces an equivalence of homotopy categories if and only if it induces an equivalence of simplicial localizations. This allows to make the link with the K -theory of simplicial categories introduced by Toen and Vezzosi.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"188 1","pages":"505-546"},"PeriodicalIF":0.0,"publicationDate":"2010-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS009010008JKT094","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56662842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 50
INDEX MAPS IN THE K-THEORY OF GRAPH ALGEBRAS 图代数k理论中的索引映射
Journal of K-Theory Pub Date : 2010-11-18 DOI: 10.1017/is011004017jkt156
T. M. Carlsen, S. Eilers, M. Tomforde
{"title":"INDEX MAPS IN THE K-THEORY OF GRAPH ALGEBRAS","authors":"T. M. Carlsen, S. Eilers, M. Tomforde","doi":"10.1017/is011004017jkt156","DOIUrl":"https://doi.org/10.1017/is011004017jkt156","url":null,"abstract":"Let C � (E) be the graph C � -algebra associated to a graph E and let J be a gauge-invariant ideal in C � (E). We compute the cyclic six-term exact sequence in K-theory associated to the extension 0 ! J ! C � (E) ! C � (E)/J ! 0 in terms of the adjacency matrix associated to E. The ordered six- term exact sequence is a complete stable isomorphism invariant for se- veral classes of graph C � -algebras, for instance those containing a unique proper nontrivial ideal. Further, in many other cases, finite collections of such sequences comprise complete invariants. Our results allow for explicit computation of the invariant, giving an exact sequence in terms of kernels and cokernels of matrices determined by the vertex matrix of E.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"9 1","pages":"385-406"},"PeriodicalIF":0.0,"publicationDate":"2010-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is011004017jkt156","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56665795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups 从Farey符号到有限群的整群环上有限指标子群的生成
Journal of K-Theory Pub Date : 2010-10-01 DOI: 10.1017/IS009012013JKT079
A. Dooms, E. Jespers, A. Konovalov
{"title":"From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups","authors":"A. Dooms, E. Jespers, A. Konovalov","doi":"10.1017/IS009012013JKT079","DOIUrl":"https://doi.org/10.1017/IS009012013JKT079","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"54 1","pages":"263-283"},"PeriodicalIF":0.0,"publicationDate":"2010-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS009012013JKT079","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56663129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra O n 关于Cuntz代数O n上规范不变KMS状态的扭循环理论和一个指标理论
Journal of K-Theory Pub Date : 2010-10-01 DOI: 10.1017/IS009010003JKT092
A. Carey, J. Phillips, A. Rennie
{"title":"Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra O n","authors":"A. Carey, J. Phillips, A. Rennie","doi":"10.1017/IS009010003JKT092","DOIUrl":"https://doi.org/10.1017/IS009010003JKT092","url":null,"abstract":"This paper presents, by example, an index theory appropriate to algebras without trace. Whilst we work exclusively with Cuntz algebras the exposition is designed to indicate how to develop a general theory. Our main result is an index theorem (formulated in terms of spectral flow) using a twisted cyclic cocycle where the twisting comes from the modular automorphism group for the canonical gauge action on each Cuntz algebra. We introduce a modified K 1 -group for each Cuntz algebra which has an index pairing with this twisted cocycle. This index pairing for Cuntz algebras has an interpretation in terms of Araki's notion of relative entropy.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"6 1","pages":"339-380"},"PeriodicalIF":0.0,"publicationDate":"2010-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS009010003JKT092","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56662378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
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