Hecke algebras and cohomotopical Mackey functors

Minami, Norihiko

doi:10.1090/S0002-9947-99-02246-1

Hecke algebras and cohomotopical Mackey functors
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Trans. Amer. Math. Soc. 351 (1999), 4481-4513 Request permission

Abstract:

In this paper, we define the concept of the cohomotopical Mackey functor, which is more general than the usual cohomological Mackey functor, and show that Hecke algebra techniques are applicable to cohomotopical Mackey functors. Our theory is valid for any (possibly infinite) discrete group. Some applications to topology are also given.

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