Isomorphisms Of Factors Of Infinite Type

Author:

Kadison R. V.

Abstract

1. Introduction. One of the striking results of the work done by Murray and von Neumann (9) in the analysis of rings of operators on a Hilbert space is the reduction of the unitary equivalence problem for certain types of factors to the problem of algebraic equivalence. Roughly speaking, they associate with each concrete representation of a factor a number (which measures the relative size of the factor and its commutant)—the so-called “coupling constant.”

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Reflections Relating a von Neumann Algebra and Its Commutant;Mappings of Operator Algebras;1991

2. Interpolation by type I factors and the flip automorphism;Journal of Functional Analysis;1983-05

3. Bibliography;Fundamentals of the Theory of Operator Algebras;1983

4. References;Von Neumann Algebras;1981

5. Selfadjoint extension operators commuting with an algebra;Mathematische Zeitschrift;1979-02

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