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Titlebook: Cyclic Homology; Jean-Louis Loday Book 19921st edition Springer-Verlag Berlin Heidelberg 1992 Algebraic K-theory.Homology Theory.K-theory.

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https://doi.org/10.1007/978-3-642-83548-3tion 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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Deepak Garg,Kit Wong,Suneet Kumar Guptadimension 0 and one in dimension 1. Another model consists in taking the nerve of the infinite cyclic group ℤ. Then its geometric realization has many cells. A priori this latter version, though more complicated in terms of cell decomposition, has the advantage of taking care of the group structure
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https://doi.org/10.1007/978-3-642-83548-3. Then it was recognized that the Grothendieck group is closely related to the abelianization ..(.) of the general linear group, which had been studied earlier (1949) by J.H.C. Whitehead in his work on simple homotopy. The next step was the discovery of the ..-group by Milnor in his attempt to under
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Smooth Algebras and Other Examples,as, universal enveloping algebras of Lie algebras and, finally, smooth algebras, on which we put some emphasis. One more important example, the case of group algebras, will be treated later, in Sect. 7.4. It is also shown in this chapter that Hochschild and cyclic homology are related to many other
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Cyclic Spaces and ,,-Equivariant Homology,dimension 0 and one in dimension 1. Another model consists in taking the nerve of the infinite cyclic group ℤ. Then its geometric realization has many cells. A priori this latter version, though more complicated in terms of cell decomposition, has the advantage of taking care of the group structure
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