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

Reiji Tomatsu, Yoshimichi Ueda

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)599-610
ページ数12
ジャーナルKyoto Journal of Mathematics
56
3
DOI
出版ステータスPublished - 2016 9
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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