Annals of K-Theory最新文献_第5页

Virtual excess intersection theory 虚拟过量交叉理论

IF 0.6

Annals of K-Theory Pub Date : 2019-09-30 DOI: 10.2140/akt.2021.6.559

Adeel A. Khan

引用次数: 3

C2-equivariant stable homotopy from realmotivic stable homotopy 从实动稳定同伦得到c2 -等变稳定同伦

IF 0.6

Annals of K-Theory Pub Date : 2019-08-22 DOI: 10.2140/AKT.2020.5.411

M. Behrens, J. Shah

引用次数: 24

The Omega spectrum for mod 2KO-theory 模2ko理论的谱

IF 0.6

Annals of K-Theory Pub Date : 2019-08-05 DOI: 10.2140/akt.2020.5.357

W. Wilson

引用次数: 0

The p-completed cyclotomic trace in degree2 2度p完成的切圆痕迹

IF 0.6

Annals of K-Theory Pub Date : 2019-07-24 DOI: 10.2140/akt.2020.5.539

J. Anschutz, A. C. Bras

引用次数: 14

Zero-cycles with modulus and relativeK-theory 具有模的零循环与相对K理论

IF 0.6

Annals of K-Theory Pub Date : 2019-06-20 DOI: 10.2140/akt.2020.5.757

Rahul Gupta, A. Krishna

引用次数: 5

On the K-theory coniveau epimorphism forproducts of Severi–Brauer varieties 关于Severi-Brauer品种产品的k -理论隐属

IF 0.6

Annals of K-Theory Pub Date : 2019-06-16 DOI: 10.2140/AKT.2019.4.317

N. Karpenko, Eoin Mackall

{"title":"On the K-theory coniveau epimorphism for\u0000products of Severi–Brauer varieties","authors":"N. Karpenko, Eoin Mackall","doi":"10.2140/AKT.2019.4.317","DOIUrl":"https://doi.org/10.2140/AKT.2019.4.317","url":null,"abstract":"For X a product of Severi-Brauer varieties, we conjecture: if the Chow ring of X is generated by Chern classes, then the canonical epimorphism from the Chow ring of X to the graded ring associated to the coniveau filtration of the Grothendieck ring of X is an isomorphism. We show this conjecture is equivalent to: if G is a split semisimple algebraic group of type AC, B is a Borel subgroup of G and E is a standard generic G-torsor, then the canonical epimorphism from the Chow ring of E/B to the graded ring associated with the coniveau filtration of the Grothendieck ring of E/B is an isomorphism. In certain cases we verify this conjecture. Notation and Conventions. We fix a field k throughout. All of our objects are defined over k unless stated otherwise. Sometimes we use k as an index when no confusion will occur. For any field F , we fix an algebraic closure F . A variety X is a separated scheme of finite type over a field. Let X = X1 × · · · ×Xr be a product of varieties with projections πi : X → Xi. Let F1, ...,Fr be sheaves of modules on X1, ..., Xr. We use F1 · · · Fr for the external product π∗ 1F1⊗ · · ·⊗π∗ rFr. For a ring R with a Z-indexed descending filtration F • ν , (e.g. ν = γ or τ as in Section 2), we write grνR for the corresponding quotient F i ν/F i+1 ν . We write grνR = ⊕ i∈Z gr i νR for the associated graded ring. A semisimple algebraic group G is of type AC if its Dynkin diagram is a union of diagrams of type A and type C. Similarly a semisimple group G is of type AA if its Dynkin diagram is a union of diagrams of type A. For an index set I, two elements i, j ∈ I, we write δij for the function which is 0 when i 6= j and 1 if i = j. Given two r-tuples of integers, say I, J , we write I < J if the ith component of I is less than the ith component of J for any 1 ≤ i ≤ r.","PeriodicalId":42182,"journal":{"name":"Annals of K-Theory","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/AKT.2019.4.317","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42888028","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: 8

The topological Hochschild homology ofalgebraic K-theory of finite fields 有限域代数K-理论的拓扑Hochschild同调

IF 0.6

Annals of K-Theory Pub Date : 2019-06-07 DOI: 10.2140/akt.2021.6.29

E. Honing

引用次数: 3

Hausdorffified algebraic K1-groups andinvariants for C∗-algebras with the ideal property 具有理想性质的C＊-代数的Hausdorfified代数K1群及其变型

IF 0.6

Annals of K-Theory Pub Date : 2019-05-28 DOI: 10.2140/akt.2020.5.43

G. Gong, Chunlan Jiang, Liangqing Li

{"title":"Hausdorffified algebraic K1-groups and\u0000invariants for C∗-algebras with the ideal property","authors":"G. Gong, Chunlan Jiang, Liangqing Li","doi":"10.2140/akt.2020.5.43","DOIUrl":"https://doi.org/10.2140/akt.2020.5.43","url":null,"abstract":"A $C^*$-algebra $A$ is said to have the ideal property if each closed two-sided ideal of $A$ is generated by the projections inside the ideal, as a closed two sided ideal. $C^*$-algebras with the ideal property are generalization and unification of real rank zero $C^*$-algebras and unital simple $C^*$-algebras. It is long to be expected that an invariant (see [Stev] and [Ji-Jiang], [Jiang-Wang] and [Jiang1]) , we call it $Inv^0(A)$ (see the introduction), consisting of scaled ordered total $K$-group $(underline{K}(A), underline{K}(A)^{+},Sigma A)_{Lambda}$ (used in the real rank zero case), the tracial state space $T(pAp)$ of cutting down algebra $pAp$ as part of Elliott invariant of $pAp$ (for each $[p]inSigma A$) with a certain compatibility, is the complete invariant for certain well behaved class of $C^*$-algebras with the ideal property (e.g., $AH$ algebras with no dimension growth). In this paper, we will construct two non isomorphic $Amathbb{T}$ algebras $A$ and $B$ with the ideal property such that $Inv^0(A)cong Inv^0(B)$. The invariant to differentiate the two algebras is the Hausdorffifized algebraic $K_1$-groups $U(pAp)/overline{DU(pAp)}$ (for each $[p]inSigma A$) with a certain compatibility condition. It will be proved in [GJL] that, adding this new ingredients, the invariant will become the complete invariant for $AH$ algebras (of no dimension growth) with the ideal property.","PeriodicalId":42182,"journal":{"name":"Annals of K-Theory","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47749785","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: 11

Rigidity in equivariant algebraicK-theory 等变代数理论中的刚性

IF 0.6

Annals of K-Theory Pub Date : 2019-05-08 DOI: 10.2140/akt.2020.5.141

N. Naumann, Charanya Ravi

引用次数: 2

A Dolbeault–Hilbert complex for a variety withisolated singular points 具有孤立奇异点的一种Dolbeault-Hilbert复形

IF 0.6

Annals of K-Theory Pub Date : 2019-04-16 DOI: 10.2140/akt.2019.4.707

J. Lott

引用次数: 3