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.References
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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
- Received by editor(s): April 8, 1997
- Published electronically: March 24, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 4481-4513
- MSC (1991): Primary 55R35, 55P42, 55N91, 19A22, 18G55; Secondary 20C11, 57S17, 55R10
- DOI: https://doi.org/10.1090/S0002-9947-99-02246-1
- MathSciNet review: 1487626
Dedicated: Dedicated to Professor Hirosi Toda on his 70th birthday