Mackey functors on compact closed categories

Elango Panchadcharam, Ross Street

    Research output: Contribution to journalArticlepeer-review


    We develop and extend the theory of Mackey functors as an application of enriched category theory. We define Mackey functors on a lextensive category E and investigate the properties of the category of Mackey functors on E . 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.
    Original languageEnglish
    Pages (from-to)261-293
    Number of pages33
    JournalJournal of Homotopy and Related Structures
    Issue number2
    Publication statusPublished - 2007


    • mathematics
    • Mackey functor
    • group representation
    • convolution


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