Orbital free entropy, revisited
arXiv:1210.6421 · doi:10.1512/iumj.2014.63.5220
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.
19 pages; final version
References in corpus (1)
Cited by in corpus (7)
- Remarks on free mutual information and orbital free entropy
- Liberation, free mutual information and orbital free entropy
- A remark on orbital free entropy
- Matrix liberation process I: Large deviation upper bound and almost sure convergence
- Analogues of Entropy in Bi-Free Probability Theory: Microstates
- Orbital free pressure and its Legendre transform
- Matrix liberation process II: Relation to orbital free entropy