Haagerup Approximation Property for Arbitrary von Neumann Algebras

Haagerup Approximation Property for Arbitrary von Neumann Algebras

We attempt presenting a notion of the Haagerup approximation property for an arbitrary von Neumann algebra by using its standard form. We also prove the expected heredity results for this property.

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Veröffentlicht in:Publications of the Research Institute for Mathematical Sciences 2015-09, Vol.51 (3), p.567-603
Hauptverfasser: Okayasu, Rui, Tomatsu, Reiji
Format: Artikel
Sprache:eng
Schlagworte:
Functional analysis
Topological groups, Lie groups
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Zusammenfassung:We attempt presenting a notion of the Haagerup approximation property for an arbitrary von Neumann algebra by using its standard form. We also prove the expected heredity results for this property.
ISSN:0034-5318
1663-4926
DOI:10.4171/PRIMS/165