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

Reiji Tomatsu, Yoshimichi Ueda

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove that, for any type III1 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 III1.

Original languageEnglish
Pages (from-to)599-610
Number of pages12
JournalKyoto Journal of Mathematics
Volume56
Issue number3
DOIs
Publication statusPublished - Sep 2016

Fingerprint

Free Product
Crossed Product
Bernoulli
Real Line
If and only if
Topology
Imply
Invariant

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

A characterization of the fullness of continuous cores of type III1 free product factors. / Tomatsu, Reiji; Ueda, Yoshimichi.

In: Kyoto Journal of Mathematics, Vol. 56, No. 3, 09.2016, p. 599-610.

Research output: Contribution to journalArticle

Tomatsu, Reiji ; Ueda, Yoshimichi. / A characterization of the fullness of continuous cores of type III1 free product factors. In: Kyoto Journal of Mathematics. 2016 ; Vol. 56, No. 3. pp. 599-610.
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