Crossed products by Hilbert pro-C*-bimodules

被引：6

作者：

Joita, Maria ^{[1
]}

Zarakas, Ioannis ^{[2
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, Dept Math, Bucharest, Romania

[2] Univ Athens, Dept Math, Athens 15784, Greece

来源：

STUDIA MATHEMATICA | 2013年 / 215卷 / 02期

关键词：

pro-C*-algebra; Hilbert pro-C*-bimodule; crossed product; Morita equivalence; MORITA EQUIVALENCE;

D O I：

10.4064/sm215-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the crossed product of a pro-C*-algebra A by a Hilbert A-A pro-C*-bimodule and we show that it can be realized as an inverse limit of crossed products of C*-algebras by Hilbert C*-bimodules. We also prove that under some conditions the crossed products of two Hilbert pro-C*-bimodules over strongly Morita equivalent pro-C*-algebras are strongly Morita equivalent.

引用

页码：139 / 156

页数：18

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