Chapter 1. A first approach: examples 3 1.1. Notation and preliminaries 3 1.2. Measure
space von Neumann algebras 5 1.3. Group von Neumann algebras 5 1.4. Group measure …

In the mid 60's, D. Kazhdan defined his Property (T) for locally compact groups and used it
as a tool to demonstrate that a large class of lattices are finitely generated. Recall that a …

Utilizing the notion of property (T) we construct new examples of quantum group norms on
the polynomial algebra of a compact quantum group, and provide criteria ensuring that …

We study Property (T) for locally compact quantum groups, providing several new
characterisations, especially related to operator algebraic ergodic theory. Quantum Property …

Abstract We prove a Delorme–Guichardet type theorem for discrete quantum groups
expressing property (T) of the quantum group in question in terms of its first cohomology …

In this paper we will give a thorough study of the notion of property (T) for C∗-algebras (as
introduced by MB Bekka) as well as a slightly stronger version of it, called “strong property …

We show that a locally compact group is amenable if and only if its reduced group-algebra is
nuclear and has a tracial state, which is also equivalent to having a special kind of …

We study the Haagerup property for C⁎-algebras. We first give new examples of C⁎-
algebras with the Haagerup property. A nuclear C⁎-algebra with a faithful tracial state …

Let G be a second countable locally compact group and H a closed subgroup. We
characterize the lack of Kazhdan's property T for the pair (G, H) by the genericity of G-actions …

Kazhdan's property T has recently been imported to the C∗-world by Bekka. Our objective is
to extend a well-known fact to this realm; we show that a nuclear C∗-algebra with property T …