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Norming C*-Algebras by C*-Subalgebras

โœ Scribed by Florin Pop; Allan M. Sinclair; Roger R. Smith

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
205 KB
Volume
175
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

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.

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