Trace theories and localization
classification
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keywords
algebrahochschildhomologylocalizationtracecasesdefinitioneven
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We show how one can twist the definition of Hochschild homology of an algebra or a DG algebra by inserting a possibly non-additive trace functor. We then prove that many of the usual properties of Hochschild homology survive such a generalization. In some cases this even includes Keller's Localization Theorem.
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