Symmetry in the Cuntz algebra on two generators

被引：4

作者：

Choi, Man-Duen ^{[2
]}

Latremoliere, Frederic ^{[1
]}

机构：

[1] Univ Denver, Dept Math, Denver, CO 80208 USA

[2] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 02期

关键词：

Finite group action; Proper isometries; Cuntz algebras; Fixed point C*-algebra; C*-crossed-product; FINITE-GROUP ACTIONS; C-ASTERISK-ALGEBRAS; CROSSED PRODUCTS; ROHLIN PROPERTY; UNITARIES;

D O I：

10.1016/j.jmaa.2011.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the structure of the automorphism of O(2) which exchanges the two canonical isometries. Our main observation is that the fixed point C*-subalgebra for this action is isomorphic to O(2) and we detail the relationship between the crossed-product and fixed point subalgebra. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1050 / 1060

页数：11

共 12 条

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[9] The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
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[10] Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra On
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