Morita equivalence and Cauchy extensions of Hilbert C*-modules

被引：0

作者：

Nourouzi, Kourosh ^{[1
]}

Reza, Ali ^{[1
]}

机构：

[1] KN Toosi Univ Technol, Fac Math, Tehran, Iran

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 03期

关键词：

Extension of C*; algebras; extension of Hilbert C*-modules; Cauchy extension of C*; Morita equivalence;

D O I：

10.2989/16073606.2019.1692952

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that the Cauchy extensions of C*-algebras and Hilbert C*-modules preserve Morita equivalence of C*-algebras and Hilbert C*- modules, respectively. In particular, we show that the Cauchy extensions of Hilbert C*-modules preserve adjointable, unitary operators and partial isometries as well as full Hilbert C*-modules and linking algebras associated to Hilbert C*-modules.

引用

页码：379 / 397

页数：19

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