IRRATIONAL ROTATION C*-ALGEBRA FOR GROUPOID C*-ALGEBRA

Citation:

Chen Xiaoman,Xu Qingxiang,Xu Shengzhi.IRRATIONAL ROTATION C*-ALGEBRA FOR GROUPOID C*-ALGEBRA[J].Chinese Annals of Mathematics B,1995,16(4):445~452
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Authors:

Chen Xiaoman; Xu Qingxiang;Xu Shengzhi
Abstract: This paper characterizes the irrational rotaion $C^{ *}$-algebra associated with the Toeplitz $C^{*}$-algebra over the $L$-shaped domain in $\C^2$ in the sense of the maximal radical series, which is an isomorphism invariant.

Keywords:

$L$-shaped domain, Toeplitz $C^{*}$-algebra, Irrational rotation,Invariant subset, Maximal ideal.

Classification:

46L
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