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Hecke Algebras and Cohomotopical Mackey Functors

Norihiko Minami
Transactions of the American Mathematical Society
Vol. 351, No. 11 (Nov., 1999), pp. 4481-4513
Stable URL: http://www.jstor.org/stable/117958
Page Count: 33
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Hecke Algebras and Cohomotopical Mackey Functors
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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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