TY - JOUR
T1 - Orbital free entropy, revisited
AU - Ueda, Yoshimichi
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
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
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U2 - 10.1512/iumj.2014.63.5220
DO - 10.1512/iumj.2014.63.5220
M3 - Article
AN - SCOPUS:84904460032
VL - 63
SP - 551
EP - 577
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
SN - 0022-2518
IS - 2
ER -