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20022026
most citedExcision in bivariant periodic cyclic cohomology: a categorical approach

23 citations · 43 across the 33 of their papers we have counts for

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math.KT2021

Extensions of Linear Cycle Sets

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

We generalize the cohomology theory for linear cycle sets introduced by Lebed and Vendramin. Our cohomology classifies extensions of linear cycle sets by trivial ideals, whereas th…

math.KT2019

(Co)homology of Crossed Products by Weak Hopf Algebras

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.KT2018★ 2 cited

(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.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…

math.KT2015

Cyclic homology of cleft extensions of algebras

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Let k be a commutative algebra with the field of the rational numbers included in k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canon…

math.KT2011

Cyclic homology of braided Hopf crossed products

Graciela Carboni, Jorge A. Guccione, Juan J. Guccione +1

Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1_V. We obtain a mixed complex, simpler that the canonical one, that…

math.KT2002★ 23 cited

Excision in bivariant periodic cyclic cohomology: a categorical approach

Guillermo Cortiñas, Christian Valqui

We extend Cuntz-Quillen's excision theorem for algebras and pro-algebras in arbitrary Q-linear categories with tensor product.The excision theorems for the bivariant periodic cycli…