Orbital free entropy, revisited

Yoshimichi Ueda

doi:10.1512/iumj.2014.63.5220

Orbital free entropy, revisited

Yoshimichi Ueda

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We give another definition of orbital free entropy introduced by Hiai, Miyamoto, and us, which does not need the hyperfiniteness assumption for each given random multivariable. The present definition is somehow related to one of its several recent approaches due to Biane and Dabrowski, but can be shown to agree with the original definition completely, and is much closer to the original approach.

Original language	English
Pages (from-to)	551-577
Number of pages	27
Journal	Indiana University Mathematics Journal
Volume	63
Issue number	2
DOIs	https://doi.org/10.1512/iumj.2014.63.5220
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1512/iumj.2014.63.5220

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abstract = "We give another definition of orbital free entropy introduced by Hiai, Miyamoto, and us, which does not need the hyperfiniteness assumption for each given random multivariable. The present definition is somehow related to one of its several recent approaches due to Biane and Dabrowski, but can be shown to agree with the original definition completely, and is much closer to the original approach.",

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Orbital free entropy, revisited

Abstract

All Science Journal Classification (ASJC) codes

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