Traces in monoidal categories
classification
🧮 math.CT
math.AT
keywords
tracemonoidalcategoryconstructionendomorphismsapproximationbalancedcategories
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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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