Abstract
Since cyclic homology is, in a certain sense, a variant of Hochschild homology we begin with a chapter on this theory. Most of the material presented 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-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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Loday, JL. (1998). Hochschild Homology. In: Cyclic Homology. Grundlehren der mathematischen Wissenschaften, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11389-9_1
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DOI: https://doi.org/10.1007/978-3-662-11389-9_1
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