On the nuclearity of certain Cuntz-Pimsner algebras

被引：2
|
作者：
Lledo, Fernando [1 ,2 ]
Vasselli, Ezio [3 ]
机构：
[1] Univ Carlos III Madrid, Dept Matemat, E-28911 Madrid, Spain
[2] Rhein Westfal TH Aachen, Inst Pure & Appl Math, D-52062 Aachen, Germany
[3] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 05期
关键词：
Cuntz-Pimsner algebra; nuclear C*-algebra; Hilbert bimodule; C-ASTERISK-ALGEBRAS; STABLE ISOMORPHISM; NONTRIVIAL CENTER; CSTAR-ALGEBRAS; COMPACT-GROUPS; SYSTEMS; DUALITY;
D O I：
10.1002/mana.200710011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we give a short proof of the nuclearity property of a class of Cuntz-Pimsner algebras associated with a Hilbert A-bimodule M, where A is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given in terms of compact module operators and that M is direct summand of the standard Hilbert module over A. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：752 / 757
页数：6
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