Absence of cartan subalgebras in continuous cores of free product von neumann algebras

Yoshimichi Ueda

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We show that the continuous core of any type III free product factor has no Cartan subalgebra. This is a complement to previous works due to Houdayer-Ricard and Boutonnet-Houdayer-Raum.

Original languageEnglish
Pages (from-to)151-155
Number of pages5
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume90
Issue number10
DOIs
Publication statusPublished - Jan 1 2014

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Cartan Subalgebra
Free Product
Von Neumann Algebra
Complement

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Absence of cartan subalgebras in continuous cores of free product von neumann algebras. / Ueda, Yoshimichi.

In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 90, No. 10, 01.01.2014, p. 151-155.

Research output: Contribution to journalArticle

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