Hecke algebras and cohomotopical Mackey functors
Norihiko Minami
Department of Mathematics, The University of Alabama, Box 870350, 
Tuscaloosa Alabama 35487-0350 
Trans. Amer. Math. Soc. 351 (1999), 4481-4513.

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.