Excision in Cyclic Homology Theories, by Michael Puschnigg

This paper is a completely rewritten and expanded version of the preprint 295 with the same title on this server. It contains a proof of excision for periodic, entire, asymptotic and more generally local cyclic cohomology of ind-algebras with supports. As applications we derive an estimate for the behaviour of the dimension of a cyclic cocycle under the Cuntz-Quillen boundary map, calculate the entire cyclic cohomology of the algebra of smooth functions on a compact manifold and construct a bivariant Chern-Connes character on Kasparov's bivariant K-theory.

Michael Puschnigg <puschni@math.uni-muenster.de>