English

A remark on orbital free entropy

Operator Algebras 2019-05-21 v2

Abstract

A lower estimate of the orbital free entropy χorb\chi_\mathrm{orb} under unitary conjugation is proved, and it together with Voiculescu's observation shows that the conjectural exact formula relating χorb\chi_\mathrm{orb} to the free entropy χ\chi breaks in general in contrast to the case when given random multi-variables are all hyperfinite.

Cite

@article{arxiv.1610.04118,
  title  = {A remark on orbital free entropy},
  author = {Yoshimichi Ueda},
  journal= {arXiv preprint arXiv:1610.04118},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-22T16:19:53.952Z