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

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Story Generation Using GAN, RNN and LSTMOne of the main properties of cyclic homology is its relationship with the homology of the Lie algebra of matrices. Explicitly it takes the following form. For any unital associative algebra A over a characteristic zero field ., there is a canonical isomorphism of graded Hopf algebras

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Cyclic Homology of Algebras,There are at least three ways to construct cyclic homology from Hochschild homology. First, in his search for a non-commutative analogue of de Rham homology theory, A. Connes discovered in 1981 the following striking phenomenon:

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Variations on Cyclic Homology,There are several ways of modifying cyclic homology: by altering the cyclic bicomplex, by putting up other groups than the cyclic groups or by enlarging the category of algebras.

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E. D. Berhold,M. P. Berhold,L. P. McNameehere 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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