7 citations · 7 across the 3 of their papers we have counts for
5 papers · 1 filter
A note on the von Neumann algebra of a Baumslag-Solitar group
Pierre Fima
We study qualitative properties of the group von Neumann algebra of a Baumslag-Solitar group. Namely, we prove that, in the non-amenable and {ICC} case, the associated …
Kazhdan's Property T for Discrete Quantum Groups
Pierre Fima
We give a simple definition of property T for discrete quantum groups. We prove the basic expected properties: discrete quantum groups with property T are finitely generated and un…
A locally compact quantum group of triangular matrices
Pierre Fima, Leonid Vainerman
We construct a one parameter deformation of the group of upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this ne…
Twisting and Rieffel's deformation of locally compact quantum groups. Deformation of the Haar measure
Pierre Fima, Leonid Vainerman
We develop the twisting construction for locally compact quantum groups. A new feature, in contrast to the previous work of M. Enock and the second author, is a non-trivial deforma…
On locally compact quantum groups whose algebras are factors
Pierre Fima
In this paper we are interested in examples of locally compact quantum groups such that both von Neumann algebras, and the dual , are factors. There is a lot o…