Norming C*-algebras by C*-subalgebras

Citation
F. Pop et al., Norming C*-algebras by C*-subalgebras, J FUNCT ANA, 175(1), 2000, pp. 168-196
Citations number
40
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
175
Issue
1
Year of publication
2000
Pages
168 - 196
Database
ISI
SICI code
0022-1236(20000801)175:1<168:NCBC>2.0.ZU;2-3
Abstract
We introduce and investigate the notion of a norming C*-subalgebra of C*-al gebra. We characterize when von Neumann algebras norm B(H), and construct v arious examples of abelian and hyperfinite norming subalgebras. We then app ly these results to von Neumann algebra cohomology theory and the bounded p rojection problem for von Neumann algebras. (C) 2000 Academic Press.