Rohlin flows on the Cuntz algebra O∞

Ola Bratteli; Akitaka Kishimoto; Derek W. Robinson

doi:10.1016/j.jfa.2006.10.016

Rohlin flows on the Cuntz algebra O_∞

Ola Bratteli, Akitaka Kishimoto^*, Derek W. Robinson

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

It is shown that certain quasi-free flows on the Cuntz algebra O_∞ have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows that any unital separable nuclear purely infinite simple C^*-algebra has a Rohlin flow.

Original language	English
Pages (from-to)	472-511
Number of pages	40
Journal	Journal of Functional Analysis
Volume	248
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2006.10.016
Publication status	Published - 15 Jul 2007

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title = "Rohlin flows on the Cuntz algebra O∞",

abstract = "It is shown that certain quasi-free flows on the Cuntz algebra O∞ have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows that any unital separable nuclear purely infinite simple C*-algebra has a Rohlin flow.",

keywords = "Cocycle-conjugacy, Cuntz algebra, flow, Rohlin property",

author = "Ola Bratteli and Akitaka Kishimoto and Robinson, {Derek W.}",

year = "2007",

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T1 - Rohlin flows on the Cuntz algebra O∞

AU - Bratteli, Ola

AU - Kishimoto, Akitaka

AU - Robinson, Derek W.

PY - 2007/7/15

Y1 - 2007/7/15

N2 - It is shown that certain quasi-free flows on the Cuntz algebra O∞ have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows that any unital separable nuclear purely infinite simple C*-algebra has a Rohlin flow.

AB - It is shown that certain quasi-free flows on the Cuntz algebra O∞ have the Rohlin property and therefore are cocycle-conjugate with each other. This, in particular, shows that any unital separable nuclear purely infinite simple C*-algebra has a Rohlin flow.

KW - Cocycle-conjugacy

KW - Cuntz algebra, flow

KW - Rohlin property

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U2 - 10.1016/j.jfa.2006.10.016

DO - 10.1016/j.jfa.2006.10.016

M3 - Article

SN - 0022-1236

VL - 248

SP - 472

EP - 511

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Rohlin flows on the Cuntz algebra O_∞

Abstract

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