Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras

Martijn Caspers, Rui Okayasu, Adam Skalski, Reiji Tomatsu

研究成果: Article査読

7 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)507-510
ページ数4
ジャーナルComptes Rendus Mathematique
352
6
DOI
出版ステータスPublished - 2014 6
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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