Centrally free actions of amenable C$^*$-tensor categories on von Neumann algebras

Autor: Tomatsu, Reiji
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 84 pages
Databáze: arXiv