Classification of uniformly outer actions of Z2 on UHF algebras

Takeshi Katsura; Hiroki Matui

doi:10.1016/j.aim.2008.01.014

Classification of uniformly outer actions of Z² on UHF algebras

Takeshi Katsura, Hiroki Matui

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

16 Citations (Scopus)

Abstract

We give a complete classification up to cocycle conjugacy of uniformly outer actions of Z² on UHF algebras. In particular, it is shown that any two uniformly outer actions of Z² on a UHF algebra of infinite type are cocycle conjugate. We also classify them up to outer conjugacy.

Original language	English
Pages (from-to)	940-968
Number of pages	29
Journal	Advances in Mathematics
Volume	218
Issue number	3
DOIs	https://doi.org/10.1016/j.aim.2008.01.014
Publication status	Published - 2008 Jun 20
Externally published	Yes

Keywords

C-algebras
Cocycle conjugacy
Rohlin property

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1016/j.aim.2008.01.014

Cite this

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title = "Classification of uniformly outer actions of Z2 on UHF algebras",

abstract = "We give a complete classification up to cocycle conjugacy of uniformly outer actions of Z2 on UHF algebras. In particular, it is shown that any two uniformly outer actions of Z2 on a UHF algebra of infinite type are cocycle conjugate. We also classify them up to outer conjugacy.",

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AU - Matui, Hiroki

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AB - We give a complete classification up to cocycle conjugacy of uniformly outer actions of Z2 on UHF algebras. In particular, it is shown that any two uniformly outer actions of Z2 on a UHF algebra of infinite type are cocycle conjugate. We also classify them up to outer conjugacy.

KW - C-algebras

KW - Cocycle conjugacy

KW - Rohlin property

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JF - Advances in Mathematics

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