A characterization of the fullness of continuous cores of type III1 free product factors


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/67087

Title:	A characterization of the fullness of continuous cores of type III1 free product factors
Authors:	Tomatsu, Reiji Browse this author →KAKEN DB
Authors:	Ueda, Yoshimichi Browse this author
Issue Date:	Sep-2016
Publisher:	Duke University Press
Journal Title:	Kyoto journal of mathematics
Volume:	56
Issue:	3
Start Page:	599
End Page:	610
Publisher DOI:	10.1215/21562261-3600193
Abstract:	We prove that, for any type III1 free product factor, its continuous core is full if and only if its tau-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 III1.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/67087
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 戸松玲治

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