Haagerup approximation property for arbitrary von Neumann algebras

Abstract

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.

To appear in Publ. Res. Inst. Math. Sci

References in corpus (4)

• The Haagerup property for locally compact quantum groups
• On a Class of Type II${}_1$ Factors with Betti Numbers Invariants
• CCAP for universal discrete quantum groups
• Haagerup property for quantum reflection groups

Cited by in corpus (2)

• The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms
• Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras