On the Baum-Connes conjecture for Gromov monster groups

被引：1

作者：

Finn-Sell, Martin ^{[1
]}

机构：

[1] Univ Vienna, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2016年 / 10卷 / 01期

关键词：

Expander graphs; non-exact groups; topological groupoids; Baum-Connes conjecture; C-ASTERISK-ALGEBRAS; INVERSE-SEMIGROUPS; EMBEDDINGS;

D O I：

10.4171/JNCG/231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a geometric approach to the Baum Connes conjecture with coefficients for Gromov monster groups via a theorem of Khoskham and Skandalis. Secondly, we use recent results concerning the a-T-menability at infinity of large girth expanders to exhibit a family of coefficients for a Gromov monster group for which the Baum Connes conjecture is an isomorphism.

引用

页码：207 / 219

页数：13

共 35 条

[1] The Baum-Connes conjecture for free orthogonal quantum groups
Voigt, Christian
ADVANCES IN MATHEMATICS, 2011, 227 (05) : 1873 - 1913
[2] A Baum-Connes conjecture for singular foliations
Androulidakis, Iakovos
Skandalis, Georges
ANNALS OF K-THEORY, 2019, 4 (04) : 561 - 620
[3] The Baum-Connes conjecture for amenable foliations
Tu, JL
K-THEORY, 1999, 17 (03): : 215 - 264
[4] Coarse Baum-Connes conjecture and rigidity for Roe algebras
Braga, Bruno M.
Chung, Yeong Chyuan
Li, Kang
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (09)
[5] The Baum-Connes conjecture for KK-theory
Uuye, Otgonbayar
JOURNAL OF K-THEORY, 2011, 8 (01) : 3 - 29
[6] A CATEGORICAL APPROACH TO THE BAUM-CONNES CONJECTURE FOR ÉTALE GROUPOIDS
Boenicke, Christian
Proietti, Valerio
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2024, 23 (05) : 2319 - 2364
[7] A complete formulation of the Baum-Connes conjecture for the action of discrete quantum groups
Goswami, D
Kuku, AO
K-THEORY, 2003, 30 (04): : 341 - 363
[8] The Baum-Connes conjecture via localisation of categories
Meyer, R
Nest, R
TOPOLOGY, 2006, 45 (02) : 209 - 259
[9] Localization algebras and the coarse Baum-Connes conjecture
Yu, GL
K-THEORY, 1997, 11 (04): : 307 - 318
[10] The Baum-Connes conjecture via localization of categories
Meyer, R
Nest, R
LETTERS IN MATHEMATICAL PHYSICS, 2004, 69 (1) : 237 - 263

← 1 2 3 4 →