A Cocycle in the Adjoint Representation of the Orthogonal Free Quantum Groups

作者:Fima Pierre; Vergnioux Roland*
来源:International Mathematics Research Notices, 2015, 2015(20): 10069-10094.
DOI:10.1093/imrn/rnu268

摘要

We show that the orthogonal free quantum groups are not inner amenable and we construct an explicit proper cocycle weakly contained in the regular representation. This strengthens the result of Vaes and the second author, showing that the associated von Neumann algebras are full II1-factors and Brannan's result showing that the orthogonal free quantum groups have Haagerup's approximation property. We also deduce Ozawa-Popa's property strong (HH) and give a new proof of Isono's result about strong solidity.

  • 出版日期2015