Perturbation of W*-ternary Ring of Operators

Zhong-Jin Ruan; Li Guang Wang

Perturbation of W^*-ternary Ring of Operators

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that when the cb-distance d_cb(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 language	English (US)
Pages (from-to)	53-60
Number of pages	8
Journal	Acta Mathematica Sinica, Chinese Series
Volume	60
Issue number	1
State	Published - 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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Cite this

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AB - 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.

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