Orbital free entropy, revisited
Yoshimichi Ueda
Primary 46L54: Secondary 52C1728A7894A17Free probabilityfree entropyfree entropy dimensionmutual informationnon-commutative random variablefree unitary Brownian motion
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 multi-variable. 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.
Indiana University Mathematics Journal
2014
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10.1512/iumj.2014.63.5220
10.1512/iumj.2014.63.5220
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Indiana Univ. Math. J. 63 (2014) 551 - 577
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