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September 2016 A characterization of the fullness of continuous cores of type III 1 free product factors
Reiji Tomatsu, Yoshimichi Ueda
Kyoto J. Math. 56(3): 599-610 (September 2016). DOI: 10.1215/21562261-3600193

Abstract

We prove that, for any type III 1 free product factor, its continuous core is full if and only if its τ -invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki–Woods factors. Moreover, our method shows the same result for full (generalized) Bernoulli crossed product factors of type III 1 .

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Reiji Tomatsu. Yoshimichi Ueda. "A characterization of the fullness of continuous cores of type III 1 free product factors." Kyoto J. Math. 56 (3) 599 - 610, September 2016. https://doi.org/10.1215/21562261-3600193

Information

Received: 14 January 2015; Revised: 21 April 2015; Accepted: 12 May 2015; Published: September 2016
First available in Project Euclid: 22 August 2016

zbMATH: 1366.46049
MathSciNet: MR3542777
Digital Object Identifier: 10.1215/21562261-3600193

Subjects:
Primary: 46L54
Secondary: 46L10

Rights: Copyright © 2016 Kyoto University

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Vol.56 • No. 3 • September 2016
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