Finitely summable Fredholm modules over higher rank groups and lattices

Michael Puschnigg (1)

1 I2M - Institut de Mathématiques de Marseille

We give a classification (up to smooth homotopy) of finitely summable Fredholm representations (Fredholm modules) over higher rank groups and lattices. Our results are a direct consequence of work of Bader, Furman, Gelander and Monod on generalizations of Kazhdan's property T for locally compact groups.

Domaines: K-théorie et homologie [math.KT]

Michael Puschnigg. Finitely summable Fredholm modules over higher rank groups and lattices. J. K-theory, 2011, 8 (2), pp.223-239. ⟨10.1017/is010011023jkt131⟩. ⟨hal-01269667⟩