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)

Access to Document

10.1512/iumj.2014.63.5220

Cite this

@article{089cb57181ba4e5294c169c66d839bce,

title = "Orbital free entropy, revisited",

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.",

author = "Yoshimichi Ueda",

year = "2014",

doi = "10.1512/iumj.2014.63.5220",

language = "English",

volume = "63",

pages = "551--577",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Indiana University",

number = "2",

}

TY - JOUR

T1 - Orbital free entropy, revisited

AU - Ueda, Yoshimichi

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84904460032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904460032&partnerID=8YFLogxK

U2 - 10.1512/iumj.2014.63.5220

DO - 10.1512/iumj.2014.63.5220

M3 - Article

AN - SCOPUS:84904460032

SN - 0022-2518

VL - 63

SP - 551

EP - 577

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 2

ER -

Orbital free entropy, revisited

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this