Norming C-algebras by C-subalgebras

被引：22

作者：

Pop, F

Sinclair, AM

Smith, RR

机构：

[1] Acad Advancement Sci & Technol, Hackensack, NJ 07601 USA

[2] Univ Edinburgh, Dept Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 175卷 / 01期

基金：

美国国家科学基金会;

关键词：

C*-algebra; von Neumann algebra; norming; cohomology; bounded projection; crossed product; factor; hyperfinite; injective; UHF;

D O I：

10.1006/jfan.2000.3601

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and investigate the notion of a norming C*-subalgebra of C*-algebra. We characterize when von Neumann algebras norm B(H), and construct various examples of abelian and hyperfinite norming subalgebras. We then apply these results to von Neumann algebra cohomology theory and the bounded projection problem for von Neumann algebras. (C) 2000 Academic Press.

引用

页码：168 / 196

页数：29

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