Centrally free actions of amenable C$^*$-tensor categories on von Neumann algebras
Operator Algebras
2018-12-12 v1
Abstract
We will show a centrally free action of an amenable rigid C-tensor category on a properly infinite von Neumann algebra has the Rohlin property. This enables us to prove the fullness of the crossed product of a full factor by minimal action of a compact group. As another application of the Rohlin property, we will show the uniqueness of centrally free cocycle actions of an amenable rigid C-tensor category on properly infinite von Neumann algebras.
Keywords
Cite
@article{arxiv.1812.04222,
title = {Centrally free actions of amenable C$^*$-tensor categories on von Neumann algebras},
author = {Reiji Tomatsu},
journal= {arXiv preprint arXiv:1812.04222},
year = {2018}
}
Comments
84 pages