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math.KT2018
(Co)homology of crossed products in weak contexts
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
We obtain a mixed complex simpler than the canonical one the computes the type cyclic homologies of a crossed product with invertible cocycle , of a weak module alge…
math.RA2018
Cleft extensions of weak Hopf algebras
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalen…
math.KT2018
Bivariant K-theory of generalized Weyl algebras
Christian Valqui, Julio Gutiérrez
We compute the isomorphism class in of all noncommutative generalized Weyl algebras $A=\CC[h](σ, P)$, where is an automorphism of $\CC[h]$, exce…