Invertibility preserving mappings onto finite C*-algebras

被引：0

作者：

Mathieu, Martin ^{[1
]}

Schulz, Francois ^{[2
]}

机构：

[1] Queens Univ Belfast, Math Sci Res Ctr, Belfast BT7 1NN, North Ireland

[2] Univ Johannesburg, Dept Math & Appl Math, Fac Sci, POB 524, ZA-2006 Auckland Pk, South Africa

来源：

STUDIA MATHEMATICA | 2023年 / 272卷 / 01期

基金：

新加坡国家研究基金会; 芬兰科学院;

关键词：

C*-algebras; tracial states; Jordan homomorphisms; invertibility preserving mappings; SPECTRUM; TRACE;

D O I：

10.4064/sm230101-27-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every surjective unital linear mapping which preserves invertible elements from a Banach algebra onto a C*-algebra carrying a faithful tracial state is a Jordan homomorphism, thus generalising Aupetit's 1998 result for finite von Neumann algebras.

引用

页码：113 / 120

页数：8

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