Perturbation of W*-ternary Ring of Operators

Zhong-Jin Ruan, Li Guang Wang

Research output: Contribution to journalArticle

Abstract

We show that when the cb-distance dcb(V, W) between two W*-ternary ring of operators V and W is small, the distance between their linking von Neumann algebras R(V) and R(W) is also small. We show that W*-ternary ring of operators close to injective W*-ternary ring of operators is injective again. We also consider similar properties for W*-ternary ring of operators with property Γ or McDuff property.

Original languageEnglish (US)
Pages (from-to)53-60
Number of pages8
JournalActa Mathematica Sinica, Chinese Series
Volume60
Issue number1
StatePublished - Jan 1 2017

Keywords

  • Factor of type II
  • McDuff factor
  • Property Γ
  • W-ternary ring

ASJC Scopus subject areas

  • Mathematics(all)

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