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Décomposition de la cohomologie cyclique bivariante des algèbres commutatives. (Decomposition of the bivariant cyclic cohomology of commutative algebras). (French) Zbl 0729.18009

Math. Scand. (to appear).
In this paper one extends the Hodge-type decomposition of the cyclic homology to the bivariant cyclic cohomology of commutative algebras. One gets then \(\lambda\)-operations on the bivariant cyclic cohomology and a structure of \(\gamma\)-ring.
Reviewer: P.Nuss

MSC:

18G60 Other (co)homology theories (MSC2010)
13D02 Syzygies, resolutions, complexes and commutative rings
Full Text: EuDML