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Cohomologies bivariantes de type cyclique

Nikolay V. Solodov — 2005

Annales mathématiques Blaise Pascal

In the article we propose a construction of bivariant cohomology of a couple of chain complexes with periodicities. In this way we obtain definitions of bivariant dihedral and bivariant reflective cohomology of an algebra A . Bivariant cyclic and quaternionic cohomologies appear as particular cases of this construction. The case of 2 invertible in the ground ring is studied particulary. Dans cet article nous proposons une définition de la cohomologie bivariante pour une paire de complexes...

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