Derivations, semidirect products and reduced cyclic cohomology.
Diffeotopy functors of ind-algebras and local cyclic cohomology.
Differential equations, Spencer cohomology, and computing resolutions.
Dyhendral Hyperhomology Of A Chain Algebra With Involution
Equivariant cyclic homology and equivariant differential forms
Étale descent for Hochschild and cyclic homology.
Excision in entire cyclic cohomology
We prove that entire and periodic cyclic cohomology satisfy excision for extensions of bornological algebras with a bounded linear section. That is, for such an extension we obtain a six term exact sequence in cohomology.
Extensiones centrales de las álgebras de Leibniz.
Generalized group homology
Hecke operators on the -analogue of group cohomology.
Hochschild cohomology of complex spaces and Noetherian schemes.
Hochschild homology of finite dimensional algebras.
Hodge decomposition for higher order Hochschild homology
Homologie cyclique, principe de Selberg et pseudo-coefficient.
Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle
Homology and modular classes of Lie algebroids
For a Lie algebroid, divergences chosen in a classical way lead to a uniquely defined homology theory. They define also, in a natural way, modular classes of certain Lie algebroid morphisms. This approach, applied for the anchor map, recovers the concept of modular class due to S. Evens, J.-H. Lu, and A. Weinstein.
Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators
Künneth-style formula for the homology of Leibniz algebras.
Left-right noncommutative Poisson algebras
The notions of left-right noncommutative Poisson algebra (NPlr-algebra) and left-right algebra with bracket AWBlr are introduced. These algebras are special cases of NLP-algebras and algebras with bracket AWB, respectively, studied earlier. An NPlr-algebra is a noncommutative analogue of the classical Poisson algebra. Properties of these new algebras are studied. In the categories AWBlr and NPlr-algebras the notions of actions, representations, centers, actors and crossed modules are described as...
More about the (co)homology of groups and associative algebras.