Algebra cochains and cyclic cohomology
نویسندگان
چکیده
منابع مشابه
Cyclic Cohomology of the Weyl Algebra
We give an explicit formula for sp2n-basic representatives of the cyclic cohomology of the Weyl algebra HC(A2n). This paper can be seen as cyclic addendum to the paper [6] by Feigin, Felder and Shoikhet, where the analogous Hochschild case was treated. As an application, we prove a generalization of a Theorem of Nest and Tsygan concerning the relation of the Todd class and the cyclic cohomology...
متن کاملHopf Algebra Equivariant Cyclic Cohomology, K-theory and Index Formulas
For an algebra B with an action of a Hopf algebra H we establish the pairing between equivariant cyclic cohomology and equivariant K-theory for B. We then extend this formalism to compact quantum group actions and show that equivariant cyclic cohomology is a target space for the equivariant Chern character of equivariant summable Fredholm modules. We prove an analogue of Julg’s theorem relating...
متن کاملBivariant Hopf Cyclic Cohomology
For module algebras and module coalgebras over an arbitrary bialgebra, we define two types of bivariant cyclic cohomology groups called bivariant Hopf cyclic cohomology and bivariant equivariant cyclic cohomology. These groups are defined through an extension of Connes’ cyclic category Λ. We show that, in the case of module coalgebras, bivariant Hopf cyclic cohomology specializes to Hopf cyclic...
متن کاملHopf Algebra Equivariant Cyclic Cohomology, K-theory and a q-Index Formula
For an algebra B coming with an action of a Hopf algebra H and a twist automorphism, we introduce equivariant twisted cyclic cohomology. In the case when the twist is implemented by a modular element in H we establish the pairing between even equivariant cyclic cohomology and equivariant K-theory for B. We then extend this formalism to compact quantum group actions and show that our cyclic coho...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 1988
ISSN: 0073-8301,1618-1913
DOI: 10.1007/bf02698546