GENERALIZED SIMPLE NONCOMMUTATIVE TORI

被引：0

作者：

C G PARKDepartment of Mathematics Chungnam National Uinversity Taejon South Korea ^{[305
,764
]}

机构：

来源：

Chinese Annals of Mathematics | 2002年 / 04期

关键词：

Noncommutative torus; Equivalence bimodule; UHF-algebra; Cuntz algebra; Crossed product;

D O I：

暂无

中图分类号：

O177.5 [巴拿赫代数（赋范代数）、拓扑代数、抽象调和分析];

学科分类号：

070104 ;

摘要：

<正>The generalized noncommutative torus Tkp of rank n was defined in [4] by the crossed product Am/k ×a3 Z ×a4 … ×an Z, where the actions ai of Z on the fibre Mk(C) of a rational rotation algebra Am/k are trivial, and C*(kZ × kZ) ×a3 Z ×a4 ... ×an Z is a completely irrational noncommutative torus Ap of rank n. It is shown in this paper that Tkp is strongly Morita equivalent to Ap, and that Tkp (?) Mp∞ is isomorphic to Ap (?) Mk(C) (?) Mp∞ if and only if the set of prime factors of k is a subset of the set of prime factors of p.

引用

页码：539 / 544

页数：6

共 4 条

[1]

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[2]

The fundamental group of the automorphism group of a noncommutative torus[J] . D. H. Boo,C. G. Park. &nbspChinese Annals of Mathematics . 1983 (4)

[3]

The classification of rational rotation C * -algebras[J] . Marc Brabanter. &nbspArchiv der Mathematik . 1984 (1)

[4]

Approximately central matrix units and the structure of noncommutative tori[J] . &nbspK-Theory . 1992 (3)

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