Abstract
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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the Hochschild boundary map b is still well-defined when one factors out the module A⊗ A ⊗n = A ⊗n+1 by the action of the (signed) cyclic permutation of order n + 1.
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© 1992 Springer-Verlag Berlin Heidelberg
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Loday, JL. (1992). Cyclic Homology of Algebras. In: Cyclic Homology. Grundlehren der mathematischen Wissenschaften, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21739-9_2
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DOI: https://doi.org/10.1007/978-3-662-21739-9_2
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