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JAZ volume 111 issue 3 Cover and Back matter jazz第111卷第3期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-11 DOI: 10.1017/s1446788720000361
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引用次数: 0
INDEX 指数
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-11 DOI: 10.1017/s1446788720000245
{"title":"INDEX","authors":"","doi":"10.1017/s1446788720000245","DOIUrl":"https://doi.org/10.1017/s1446788720000245","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"1125 1","pages":"430 - 431"},"PeriodicalIF":0.7,"publicationDate":"2021-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76803802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
JAZ volume 111 issue 3 Cover and Front matter jazz第111卷第3期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-11 DOI: 10.1017/s144678872000035x
{"title":"JAZ volume 111 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s144678872000035x","DOIUrl":"https://doi.org/10.1017/s144678872000035x","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"132 1","pages":"f1 - f2"},"PeriodicalIF":0.7,"publicationDate":"2021-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73012993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
BOUNDED COHOMOLOGY AND BINATE GROUPS 有界上同调与二合群
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-08 DOI: 10.1017/S1446788722000106
Francesco Fournier-Facio, C. Loeh, M. Moraschini
{"title":"BOUNDED COHOMOLOGY AND BINATE GROUPS","authors":"Francesco Fournier-Facio, C. Loeh, M. Moraschini","doi":"10.1017/S1446788722000106","DOIUrl":"https://doi.org/10.1017/S1446788722000106","url":null,"abstract":"Abstract A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first nonamenable examples are the group of compactly supported homeomorphisms of \u0000$ {mathbb {R}}^{n}$\u0000 (Matsumoto–Morita) and mitotic groups (Löh). We prove that binate (alias pseudo-mitotic) groups are boundedly acyclic, which provides a unifying approach to the aforementioned results. Moreover, we show that binate groups are universally boundedly acyclic. We obtain several new examples of boundedly acyclic groups as well as computations of the bounded cohomology of certain groups acting on the circle. In particular, we discuss how these results suggest that the bounded cohomology of the Thompson groups F, T, and V is as simple as possible.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"108 1","pages":"204 - 239"},"PeriodicalIF":0.7,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87615331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
THE K-THEORY OF THE ${mathit{C}}^{star }$ -ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS 与完全二部图相关的2-秩图的${mathit{C}}^{star}$ -代数的k理论
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-10-25 DOI: 10.1017/S1446788721000161
S. A. Mutter
{"title":"THE K-THEORY OF THE \u0000${mathit{C}}^{star }$\u0000 -ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS","authors":"S. A. Mutter","doi":"10.1017/S1446788721000161","DOIUrl":"https://doi.org/10.1017/S1446788721000161","url":null,"abstract":"Abstract Using a result of Vdovina, we may associate to each complete connected bipartite graph \u0000$kappa $\u0000 a two-dimensional square complex, which we call a tile complex, whose link at each vertex is \u0000$kappa $\u0000 . We regard the tile complex in two different ways, each having a different structure as a \u0000$2$\u0000 -rank graph. To each \u0000$2$\u0000 -rank graph is associated a universal \u0000$C^{star }$\u0000 -algebra, for which we compute the K-theory, thus providing a new infinite collection of \u0000$2$\u0000 -rank graph algebras with explicit K-groups. We determine the homology of the tile complexes and give generalisations of the procedures to complexes and systems consisting of polygons with a higher number of sides.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"19 1","pages":"119 - 144"},"PeriodicalIF":0.7,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82592811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS 连分式中连续部分商积的一个量纲结果
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-10-11 DOI: 10.1017/S1446788721000173
Lingling Huang, Chao Ma
{"title":"A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS","authors":"Lingling Huang, Chao Ma","doi":"10.1017/S1446788721000173","DOIUrl":"https://doi.org/10.1017/S1446788721000173","url":null,"abstract":"Abstract This paper is concerned with the growth rate of the product of consecutive partial quotients relative to the denominator of the convergent for the continued fraction expansion of an irrational number. More precisely, given a natural number \u0000$m,$\u0000 we determine the Hausdorff dimension of the following set: \u0000$$ begin{align*} E_m(tau)=bigg{xin [0,1): limsuplimits_{nrightarrowinfty}frac{log (a_n(x)a_{n+1}(x)cdots a_{n+m}(x))}{log q_n(x)}=taubigg}, end{align*} $$\u0000 where \u0000$tau $\u0000 is a nonnegative number. This extends the dimensional result of Dirichlet nonimprovable sets (when \u0000$m=1$\u0000 ) shown by Hussain, Kleinbock, Wadleigh and Wang.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"75 4 1","pages":"357 - 385"},"PeriodicalIF":0.7,"publicationDate":"2021-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77315500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
JAZ volume 111 issue 2 Cover and Back matter jazz第111卷第2期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-10-01 DOI: 10.1017/s1446788720000348
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引用次数: 0
JAZ volume 111 issue 2 Cover and Front matter jazz第111卷第2期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-09-13 DOI: 10.1017/s1446788720000336
{"title":"JAZ volume 111 issue 2 Cover and Front matter","authors":"","doi":"10.1017/s1446788720000336","DOIUrl":"https://doi.org/10.1017/s1446788720000336","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"22 1","pages":"f1 - f2"},"PeriodicalIF":0.7,"publicationDate":"2021-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75854384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SIMPLY CONNECTED MANIFOLDS WITH LARGE HOMOTOPY STABLE CLASSES 具有大同伦稳定类的单连通流形
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-09-02 DOI: 10.1017/S1446788722000167
Anthony Conway, D. Crowley, Mark Powell, Joerg Sixt
{"title":"SIMPLY CONNECTED MANIFOLDS WITH LARGE HOMOTOPY STABLE CLASSES","authors":"Anthony Conway, D. Crowley, Mark Powell, Joerg Sixt","doi":"10.1017/S1446788722000167","DOIUrl":"https://doi.org/10.1017/S1446788722000167","url":null,"abstract":"Abstract For every \u0000$k geq 2$\u0000 and \u0000$n geq 2$\u0000 , we construct n pairwise homotopically inequivalent simply connected, closed \u0000$4k$\u0000 -dimensional manifolds, all of which are stably diffeomorphic to one another. Each of these manifolds has hyperbolic intersection form and is stably parallelisable. In dimension four, we exhibit an analogous phenomenon for spin \u0000$^{c}$\u0000 structures on \u0000$S^2 times S^2$\u0000 . For \u0000$mgeq 1$\u0000 , we also provide similar \u0000$(4m-1)$\u0000 -connected \u0000$8m$\u0000 -dimensional examples, where the number of homotopy types in a stable diffeomorphism class is related to the order of the image of the stable J-homomorphism \u0000$pi _{4m-1}(SO) to pi ^s_{4m-1}$\u0000 .","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"13 1","pages":"172 - 203"},"PeriodicalIF":0.7,"publicationDate":"2021-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78750642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
JAZ volume 111 issue 1 Cover and Back matter jazz第111卷第1期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-08-01 DOI: 10.1017/s1446788720000324
{"title":"JAZ volume 111 issue 1 Cover and Back matter","authors":"","doi":"10.1017/s1446788720000324","DOIUrl":"https://doi.org/10.1017/s1446788720000324","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"28 1","pages":"b1 - b2"},"PeriodicalIF":0.7,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74002451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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