Contents

Introduction vii

Conference Talks xi

List of Participants xix

Dirac cohomology and unipotent representations of complex groups

D. Barbasch and P.

Pandˇ

zi

´

c 1

Algebraic index theorem for symplectic deformations of gerbes

P. Bressler, A. Gorokhovsky, R. Nest, and B. Tsygan 23

Index theory for basic Dirac operators on Riemannian foliations

J. Bruning,

¨

F.W. Kamber, and K. Richardson 39

The Witt construction in characteristic one and quantization

A. Connes 83

Lie prealgebras

M. Dubois-Violette and G. Landi 115

On the analogy between complex semisimple groups

and their Cartan motion groups

N. Higson 137

A survey on Hopf-cyclic cohomology and Connes-Moscovici characteristic map

A. Kaygun 171

A super version of Connes-Moscovici Hopf algebra

M. Khalkhali and A. Pourkia 181

Analytic torsion of Z2-graded elliptic complexes

V. Mathai and S. Wu 199

The K-groups and the index theory of certain comparison

C∗-algebras

B. Monthubert and V. Nistor 213

Relative pairings and the Atiyah-Patodi-Singer index formula for the

Godbillon-Vey cocycle

H. Moriyoshi and P. Piazza 225

Two exact sequences for lattice cohomology

A. Nemethi

´

249

Cup products in Hopf cyclic cohomology with coeﬃcients in contramodules

B. Rangipour 271

v