%0 Journal Article %T Finitely summable Fredholm modules over higher rank groups and lattices %+ Institut de Mathématiques de Marseille (I2M) %A Puschnigg, Michael %< avec comité de lecture %J J. K-theory %V 8 %N 2 %P 223-239 %8 2011 %D 2011 %Z 0806.2759 %R 10.1017/is010011023jkt131 %Z Mathematics [math]/K-Theory and Homology [math.KT]Journal articles %X 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. %G English %L hal-01269667 %U https://hal.science/hal-01269667 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-