CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY

doi:10.1016/S0252-9602(18)30787-2

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 829-842.doi: 10.1016/S0252-9602(18)30787-2

CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY

范庆斋¹, 方小春²

1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;
2. Department of Mathematics, Tongji University, Shanghai 200092, China

收稿日期:2017-05-30 修回日期:2017-08-08 出版日期:2018-06-25 发布日期:2018-06-25
作者简介:Qingzhai Fan,E-mail:fanqingzhai@fudan.edu.cn,qzfan@shmtu.edu.cn;Xiaochun Fang,E-mail:xfang@mail.tongji.edu.cn
基金资助:
The first author is supported by NSFCs (11501357, 11571008).

CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY

Qingzhai Fan¹, Xiaochun Fang²

1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;
2. Department of Mathematics, Tongji University, Shanghai 200092, China

Received:2017-05-30 Revised:2017-08-08 Online:2018-06-25 Published:2018-06-25
Supported by:
The first author is supported by NSFCs (11501357, 11571008).

摘要/Abstract

摘要：

We introduce a special tracial Rokhlin property for unital C^*-algebras. Let A be a unital tracial rank zero C^*-algebra (or tracial rank no more than one C^*-algebra). Suppose that α:G → Aut(A) is an action of a finite group G on A, which has this special tracial Rokhlin property, and suppose that A is a α-simple C^*-algebra. Then, the crossed product C^*-algebra C^*(G, A, α) has tracia rank zero (or has tracial rank no more than one). In fact, we get a more general results.

关键词: C^*-algebras, Rokhlin property, crossed product C^*-algebra

Abstract:

Key words: C^*-algebras, Rokhlin property, crossed product C^*-algebra

范庆斋, 方小春. CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY[J]. 数学物理学报(英文版), 2018, 38(3): 829-842.

Qingzhai Fan, Xiaochun Fang. CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY[J]. Acta mathematica scientia,Series B, 2018, 38(3): 829-842.

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CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY

CROSSED PRODUCTS BY FINITE GROUP ACTIONS WITH CERTAIN TRACIAL ROKHLIN PROPERTY

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