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Hecke algebras and cohomotopical Mackey functors

Author(s): Norihiko Minami
Journal: Trans. Amer. Math. Soc. 351 (1999), 4481-4513.
MSC (1991): Primary 55R35, 55P42, 55N91, 19A22, 18G55; Secondary 20C11, 57S17, 55R10
Posted: March 24, 1999
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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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Additional Information:

Norihiko Minami
Affiliation: Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa Alabama 35487-0350
Email: norihiko@gp.as.ua.edu

DOI: 10.1090/S0002-9947-99-02246-1
PII: S 0002-9947(99)02246-1
Keywords: Mackey functor, stable homotopy theory, classifying spaces
Received by editor(s): April 8, 1997
Posted: March 24, 1999
Dedicated: Dedicated to Professor Hirosi Toda on his 70th birthday
Copyright of article: Copyright 1999, American Mathematical Society

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