Zero product preserving linear maps of CCR C*-algebras with Hausdorff spectrum

被引：14

作者：

Leung, Chi-Wai ^{[2
]}

Wong, Ngai-Ching ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 01期

关键词：

Separating linear maps; Zero product preservers; Automatic continuity; Preserver problems; Continuous fields of Banach spaces and; C*-algebras; CCR; BANACH-ALGEBRAS; STAR-ALGEBRAS; ISOMORPHISMS; C'-ALGEBRAS; MAPPINGS;

D O I：

10.1016/j.jmaa.2009.08.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we try to attack a conjecture of Araujo and Jarosz that every bijective linear map theta between C*-algebras, with both theta and its inverse theta(-1) preserving zero products, arises from an algebra isomorphism followed by a central multiplier. We show it is true for CCR C*-algebras with Hausdorff spectrum, and in general, some special C*-algebras associated to continuous fields of C*-algebras. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：187 / 194

页数：8

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