Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras

Martijn Caspers, Rui Okayasu, Adam Skalski, Reiji Tomatsu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The notion of the Haagerup approximation property, originally introduced for von Neumann algebras equipped with a faithful normal tracial state, is generalised to arbitrary von Neumann algebras. We discuss two equivalent characterisations, one in term of the standard form and the other in term of the approximating maps with respect to a fixed faithful normal semifinite weight. Several stability properties, in particular regarding the crossed product construction are established and certain examples are introduced.

Original languageEnglish
Pages (from-to)507-510
Number of pages4
JournalComptes Rendus Mathematique
Volume352
Issue number6
DOIs
Publication statusPublished - 2014 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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