Property (T) with respect to non-commutative Lp-spaces

Baptiste Olivier (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We show that a group with Kazhdan's property $(T)$ has property $(T_{B})$ for $B$ the Haagerup non-commutative $L_{p}(\mathcal{M})$-space associated with a von Neumann algebra $\mathcal{M}$, $1

Mots clés: Haagerup non-commutative Lp(M)-spaces; property (T); group representations; Mazur map; property FLp(M)

Domaines: Théorie des groupes [math.GR]

Baptiste Olivier. Property (T) with respect to non-commutative Lp-spaces. Proceedings of the American Mathematical Society, 2012, 140 (12), pp.4259-4269. ⟨hal-00606923⟩