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Trace and Duality in Symmetric Monoidal Categories
Authors:Andrew Nicas
Affiliation:(1) McMaster University, Hamilton, Ontario, L8S 4K1, Canada
Abstract:Traces taking values in suitable ‘Hochschild complexes’ are defined in the context of symmetric monoidal categories and applied to various categories of chain complexes, simplicial abelian groups, and symmetric spectra. Topological applications to parametrized fixed point theory are given. (Received: October 2003) Partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada.
Keywords:trace  Hochschild complex  parametrized fixed point theory
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