IUMJ

Title: Orbital free entropy, revisited

Authors: Yoshimichi Ueda

Issue: Volume 63 (2014), Issue 2, 551-577

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 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.