Traces in monoidal categories

Details Traces in monoidal categories Traces in monoidal categories

2010-10-21

arxiv.org/abs/1010.4527v2

Mathematics

Category Theory

Scientific paper

The main result of this paper is the construction of a trace and a trace pairing for endomorphisms satisfying suitable conditions in a monoidal category. This construction is a common generalization of the trace for endomorphisms of dualizable ob jects in a balanced monoidal category and the trace of nuclear operators on a locally convex topological vector space with the approximation property.

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