Ralf Meyer Analytic cyclic cohomology 1999
نویسنده
چکیده
منابع مشابه
Comparisons between Periodic, Analytic and Local Cyclic Cohomology
We compute periodic, analytic and local cyclic cohomology for convolution algebras of compact Lie groups in order to exhibit differences between these theories. A surprising result is that the periodic and analytic cyclic cohomology of the smooth convolution algebras differ, although these algebras have finite homological dimension.
متن کاملExcision in Entire Cyclic Cohomology
An extension of bornological algebras with a bounded linear section gives rise to a six term exact sequence of the associated periodic and entire cyclic cohomology groups. 1. Introduction A convex vector bornology on a vector space is a collection of subsets satisfying some conditions 8]. A typical example is the collection of bounded subsets of a locally convex vector space. A bornological alg...
متن کاملar X iv : 0 90 5 . 11 53 v 1 [ m at h . K T ] 8 M ay 2 00 9 EQUIVARIANT CORRESPONDENCES AND THE BOREL - BOTT - WEIL THEOREM
We show that the special case of Serre duality involved in the Borel-Bott-Weil theorem can be formulated and proved in the context of equi-variant Kasparov theory by combining the Atiyah-Singer index theorem and the framework of equivariant correspondences developed in another paper by the first author and Ralf Meyer. The twisted Dolbeault cohomology groups of a flag variety that figure in the ...
متن کاملar X iv : 0 90 5 . 11 53 v 2 [ m at h . K T ] 2 7 M ay 2 00 9 EQUIVARIANT CORRESPONDENCES AND THE BOREL - BOTT - WEIL THEOREM
We formulate and prove the special case of Serre duality involved in the Borel-Bott-Weil theorem in the language of equivariant Kasparov theory. The method is to combine the Atiyah-Singer index theorem and the framework of equivariant correspondences developed in another paper by the first author and Ralf Meyer. The twisted Dolbeault cohomology groups of the flag variety figuring in the Borel-B...
متن کاملConnes-Chern character in relative K-homology
Lecture 1 (Pflaum): Title: Relative cohomology and its pairings Relative cyclic cohomology theory and its pairings turned out to be a powerful tool to explain crucial properties of certain invariants in global analysis such as for example the divisor flow. In this talk, the homological foundations for pairings in relative cyclic cohomology will be explained. Moreover, the relative Chern-charact...
متن کامل