Bachir Bekka

PROPERTY (T) FOR C*-ALGEBRAS

A notion of Property (T) is defined for an arbitrary unital C*-algebra

Operator-algebraic superridigity for SLn(ℤ), n≥3

A

Random products of automorphisms of Heisenberg nilmanifolds and Weil’s representation

admitting a tracial state. This is extended to a notion of Property (T) for a pair

Lattices with and lattices without spectral gap

(A,B),

A spectral gap property for subgroups of finite covolume in Lie groups

where

Local rigidity for actions of Kazhdan groups on noncommutative Lp-spaces

B

Spectral gap property and strong ergodicity for groups of affine transformations of solenoids

is a C*-subalgebra of

Groups with faithful irreducible projective unitary representations

A.

Unitary group representations

Let

On the spectral theory of groups of affine transformations of compact nilmanifolds

\Gamma