Inductive limit decompositions of real structures in irrational rotation algebras

被引：3

作者：

Stacey, PJ ^{[1
]}

机构：

[1] La Trobe Univ, Dept Math, Bundoora, Vic 3083, Australia

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2002年 / 51卷 / 06期

关键词：

C*-algebra; irrational rotation algebra; inductive limit; real structure; antiautomorphism;

D O I：

10.1512/iumj.2002.51.2042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An irrational rotation C*-algebra can be written as a direct limit of algebras, each of which is the direct sum of two matrix algebras over the algebra of continuous functions on the circle. The invariance of such decompositions under involutory antiautomorphisms is investigated, and a complete answer obtained for total antiautomorphisms.

引用

页码：1511 / 1540

页数：30

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