Titlebook: Cyclic Homology; Jean-Louis Loday Book 1998Latest edition Springer-Verlag Berlin Heidelberg 1998 Algebra.Algebraic K-Theory.Algebraic topo

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Chern Character,tion and then to calculate them. Many interesting invariants lie in the so-called .-groups. In the case of manifolds, for instance, these invariants are computed via the “Chern character”, which maps .-theory to the de Rham cohomology theory.

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Book 1998Latest edition sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes‘work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments a

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E. D. Berhold,M. P. Berhold,L. P. McNameechapters. One way to think of the relevance of Hochschild homology is to view it as a generalization of the modules of differential forms to non-commutative algebras. In fact, as will be proved in Chap. 3, it is only for smooth algebras that these two theories agree.

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