A REMARK ON THE TRACIAL ROKHLIN PROPERTY

被引：1

作者：

Zhang, Yuan Hang ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 97卷 / 03期

基金：

中国博士后科学基金;

关键词：

AF algebra; automorphism of order 2; real rank zero; tracial Rokhlin property; C-ASTERISK-ALGEBRAS; FINITE-GROUP ACTIONS; CROSSED-PRODUCTS; STAR-ALGEBRAS; ROHLIN PROPERTY; RANK ZERO; CLASSIFICATION; AUTOMORPHISMS;

D O I：

10.1017/S0004972717001162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To explore the difficulties of classifying actions with the tracial Rokhlin property using K-theoretic data, we construct two Z(2) actions alpha(1), alpha(2) on a simple unital AF algebra A such that alpha(1) has the tracial Rokhlin property and alpha(2) does not, while (alpha(1))(*) = (alpha(2))(*), where (alpha(i))(*) is the induced map by alpha i acting on K-0(A) for i = 1, 2.

引用

页码：492 / 498

页数：7

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