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.
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页码：139 / 156
页数：18
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