On groups with quasidiagonal C*-algebras

被引：20

作者：

Carrion, Jose R. ^{[1
]}

Dadarlat, Marius ^{[1
]}

Eckhardt, Caleb ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Miami Univ, Dept Math, Oxford, OH 45056 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 265卷 / 01期

基金：

美国国家科学基金会;

关键词：

C*-algebra; Group C*-algebra; Quasidiagonality; Amenability; FULL GROUPS;

D O I：

10.1016/j.jfa.2013.04.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the question of quasidiagonality for C*-algebras of discrete amenable groups from a variety of angles. We give a quantitative version of Rosenberg's theorem via paradoxical decompositions and a characterization of quasidiagonality for group C*-algebras in terms of embeddability of the groups. We consider several notable examples of groups, such as topological full groups associated with Cantor minimal systems and Abels' celebrated example of a finitely presented solvable group that is not residually finite, and show that they have quasidiagonal C*-algebras. Finally, we study strong quasidiagonality for group C*-algebras, exhibiting classes of amenable groups with and without strongly quasidiagonal C*-algebras. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：135 / 152

页数：18

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[2]

[Anonymous], 1977, North-Holland Mathematical Library

[3]

[Anonymous], ENCY MATH APPL

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