2010/10/21 by Stephan Stolz, Peter Teichner, Stolz, Stephan +1
Mathematics · #18D10 #46M15 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18D10 #msc:46M15
paper · pdf · doi:10.48550/arxiv.1010.4527
openalex publication_date 2010/10/21 · arxiv created 2011/05/04 · arxiv updated 2011/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.