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

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Ismael A. Jannoud,Mohammad Z. Masoudct a category, denoted . and called ., such that a cyclic object in . can be viewed as a functor from .. to .. The cyclic category . was first described by Connes [1983, where it is denoted . or .] who showed how it is constructed out of . and the finite cyclic groups.
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Rachna Sable,Shivani Goel,Pradeep Chatterjeetion 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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Balram Damodhar Timande,Manoj Kumar Nigamensions are split as abelian groups. In order to classify non-split extensions, Mac Lane introduced in the fifties the so-called ., that we denote by . and which is closely related to the cohomology of the Eilenberg-Mac Lane spaces. Hochschild (co)homology and Mac Lane (co)homology coincide when the
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Jean-Louis LodaySubject at the forefront of research.A very much needed book.Loday is well-known both as one of the leading researchers in the field and also as a very clear and precise expositor.A diversity of appro
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https://doi.org/10.1007/978-3-662-11389-9Algebra; Algebraic K-Theory; Algebraic topology; Homology Theory; Invariant; K-theory algebra Algebras; No
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Hochschild Homology,here is classical and has been known for more than thirty years (except Sect. 1.4). However our presentation is adapted to fit in with the subsequent chapters. 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-commu
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