Traces in monoidal categories
Category Theory
2011-05-05 v2 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.1010.4527,
title = {Traces in monoidal categories},
author = {Stephan Stolz and Peter Teichner},
journal= {arXiv preprint arXiv:1010.4527},
year = {2011}
}