Centrally free actions of amenable C$^*$-tensor categories on von Neumann algebras
Autor: | Tomatsu, Reiji |
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Rok vydání: | 2018 |
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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 |
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