Classification of actions of discrete amenable groups on strongly amenable subfactors of type IIIλ

Toshihiko Masuda

doi:10.1090/s0002-9939-99-04752-8

Classification of actions of discrete amenable groups on strongly amenable subfactors of type III_λ

Toshihiko Masuda

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

3 Citations (Scopus)

Abstract

Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type III_λ, 0 < λ < 1. Winslow's fundamental homomorphism is a complete invariant. This removes the extra assumptions in the classification theorems of Loi and Winslow and gives a complete classification up to cocycle conjugacy.

Original language	English
Pages (from-to)	2053-2057
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-99-04752-8
Publication status	Published - 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/s0002-9939-99-04752-8

Cite this

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title = "Classification of actions of discrete amenable groups on strongly amenable subfactors of type IIIλ",

abstract = "Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type IIIλ, 0 < λ < 1. Winslow's fundamental homomorphism is a complete invariant. This removes the extra assumptions in the classification theorems of Loi and Winslow and gives a complete classification up to cocycle conjugacy.",

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AB - Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type IIIλ, 0 < λ < 1. Winslow's fundamental homomorphism is a complete invariant. This removes the extra assumptions in the classification theorems of Loi and Winslow and gives a complete classification up to cocycle conjugacy.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

Classification of actions of discrete amenable groups on strongly amenable subfactors of type III_λ

Abstract

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