Z-Stability and Finite-Dimensional Tracial Boundaries

被引：39

作者：

Toms, Andrew S. ^{[1
]}

White, Stuart ^{[2
]}

Winter, Wilhelm ^{[3
]}

机构：

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

[2] Univ Glasgow, Sch Math & Stat, Univ Gardens, Glasgow Q12 8QW, Lanark, Scotland

[3] WWU Munster, Math Inst, D-48149 Munster, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 10期

基金：

美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

C-ASTERISK-ALGEBRAS; CENTRAL-SEQUENCES; ROHLIN PROPERTY; STAR-ALGEBRAS; AUTOMORPHISMS; RANK;

D O I：

10.1093/imrn/rnu001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a simple separable unital nuclear nonelementary C*-algebra whose tracial state space has a compact extreme boundary with finite covering dimension admits uniformly tracially large order zero maps from matrix algebras into its central sequence algebra. As a consequence, strict comparison implies Z-stability for these algebras.

引用

页码：2702 / 2727

页数：26

共 26 条

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