C*-ALGEBRAS ISOMORPHICALLY REPRESENTABLE ON lp

被引：2

作者：

Boedihardjo, March T. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA

来源：

ANALYSIS & PDE | 2020年 / 13卷 / 07期

关键词：

l(p) space; C*-algebra;

D O I：

10.2140/apde.2020.13.2173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p is an element of (1, infinity)\{2}. We show that every homomorphism from a C*-algebra A into B (l(p) (J)) satisfies a compactness property where J is any set. As a consequence, we show that a C*-algebra A is isomorphic to a subalgebra of B (l(p) (J)), for some set J, if and only if A is residually finite-dimensional.

引用

页码：2173 / 2181

页数：9

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