A family of simple C∗-algebras related to weighted shift operators

A family of simple C∗-algebras related to weighted shift operators
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与加权移位算子相关的一系列简单 C* 代数

DOI:
10.1016/0022-1236(75)90003-8
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发表时间:
1975
影响因子:
1.7
通讯作者:
J. Deddens
J. Deddens
中科院分区:
数学1区
文献类型:
--
作者:
J. Bunce;J. Deddens

文献摘要

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本文研究了一类由加权移位生成的C-代数中自然出现的C-代数。我们表明,这些代数是简单的模的紧,虽然他们分享了许多一致hyperfiniteC-代数的性质,他们不是近似有限维。
In this paper we study a family ofC∗-algebras which occurs naturally in the study ofC∗-algebras generated by weighted shifts. We show that these algebras are simple modulo the compacts, and while they share many of the properties of uniformly hyperfiniteC∗-algebras, they are not approximately finite dimensional.