English

Note on bi-exactness for creation operators on Fock spaces

Operator Algebras 2021-01-27 v1

Abstract

In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previous work, in which we studied the case of anti-symmetric Fock spaces. As a result, we obtain new examples of solid actions as well as new proofs for some known solid actions. We also study free wreath product groups in the same context.

Keywords

Cite

@article{arxiv.2101.10592,
  title  = {Note on bi-exactness for creation operators on Fock spaces},
  author = {Kei Hasegawa and Yusuke Isono and Tomohiro Kanda},
  journal= {arXiv preprint arXiv:2101.10592},
  year   = {2021}
}

Comments

37 pages

R2 v1 2026-06-23T22:31:55.624Z