HAAGERUP APPROXIMATION PROPERTY FOR FINITE VON NEUMANN ALGEBRAS

By Paul Jolissaint. 2002

68 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e22ae4e858de624ce158c5e91d5263804a1917ab

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Citations in the corpus

• The Haagerup property for locally compact quantum groups (2013, methodology): “The Haagerup property can also be defined for von Neumann algebras (see for example [42]) and, for discrete G, the Haagerup property is a von Neumann property: G enjoys the Haagerup property precisely when the group von Neumann algebra VN.”
• Easy quantum groups and quantum subgroups of a semi-direct product quantum group (2013, background): “The article [24] describes basic properties of the Haagerup property for finite von Neumann algebras.”
• Approximation properties for free orthogonal and free unitary quantum groups (2011, background): “Since injectivity implies the HAP for a finite von Neumann algebra (see [22]), there is nothing to prove when N 1⁄4 2.”
• Reduced operator algebras of trace-preserving quantum automorphism groups (2012, background): “Note that the Haagerup property does not actually depend on the choice of faithful normal trace τ :M → C [26].”