Mackey functors on compact closed categories
Category Theory
2007-06-21 v1
Abstract
We develop and extend the theory of Mackey functors as an application of enriched category theory. We define Mackey functors on a lextensive category and investigate the properties of the category of Mackey functors on . We show that it is a monoidal category and the monoids are Green functors. Mackey functors are seen as providing a setting in which mere numerical equations occurring in the theory of groups can be given a structural foundation. We obtain an explicit description of the objects of the Cauchy completion of a monoidal functor and apply this to examine Morita equivalence of Green functors.
Cite
@article{arxiv.0706.2922,
title = {Mackey functors on compact closed categories},
author = {Ross Street and Elango Panchadcharam},
journal= {arXiv preprint arXiv:0706.2922},
year = {2007}
}