Locally convex quasi C*-algebras and noncommutative integration

被引：2

作者：

Trapani, Camillo ^{[1
]}

Triolo, Salvatore ^{[2
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

[2] Univ Palermo, Dipartimento DEIM, I-90123 Palermo, Italy

来源：

STUDIA MATHEMATICA | 2015年 / 228卷 / 01期

关键词：

Banach C*-modules; noncommutative integration; partial algebras of operators; REPRESENTATIONS;

D O I：

10.4064/sm228-1-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm topology and we focus our attention on the so-called locally convex quasi C*-algebras. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra ((sic), (sic)(0)) can be represented in a class of noncommutative local L-2-spaces.

引用

页码：33 / 45

页数：13

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