Computation of the mapping of factorization by the radical for of the endomorphism ring.
Conditions under which is not generated by Dennis-Stein symbols
Continuous Morava K-Theory and the Geometry of the In-Adic Tower.
Contribution of noncommutative geometry to index theory on singular manifolds
This survey of the work of the author with several collaborators presents the way groupoids appear and can be used in index theory. We define the general tools, and apply them to the case of manifolds with corners, ending with a topological index theorem.
Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.
Crystalline conjecture via -theory
Cubic structures and ideal class groups
Curvature, tangentiality, and controlled topology.
Cyclic cohomology of certain nuclear Fréchet algebras and DF algebras
We give explicit formulae for the continuous Hochschild and cyclic homology and cohomology of certain -algebras. We use well-developed homological techniques together with some niceties of the theory of locally convex spaces to generalize the results known in the case of Banach algebras and their inverse limits to wider classes of topological algebras. To this end we show that, for a continuous morphism ϕ: x → y of complexes of complete nuclear DF-spaces, the isomorphism of cohomology groups H...
Cyclic cohomology of (extended) Hopf algebras
We review recent progress in the study of cyclic cohomology of Hopf algebras, extended Hopf algebras, invariant cyclic homology, and Hopf-cyclic homology with coefficients, starting with the pioneering work of Connes-Moscovici.
Cyclic Cohomology, Supersymmetry and KMS States The KMS States as Generalized Elliptic Operators