English

Orbital free entropy, revisited

Operator Algebras 2019-05-21 v3 Probability

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 `generalizations' due to Biane and Dabrowski, but completely agrees with the original definition and much closer to the original approach.

Cite

@article{arxiv.1210.6421,
  title  = {Orbital free entropy, revisited},
  author = {Yoshimichi Ueda},
  journal= {arXiv preprint arXiv:1210.6421},
  year   = {2019}
}

Comments

19 pages; final version

R2 v1 2026-06-21T22:26:51.053Z