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Regular version of the site

Book chapter

Trace theories and localization

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.

In book

Edited by: T. Pantev, C. Simpson, B. Toen et al. Vol. 643: Stacks and Categories in Geometry, Topology, and Algebra. American Mathematical Society, 2015.