Gelfand's trick for the spherical derived Hecke algebra

Abstract

Gelfand's trick shows that the spherical Hecke algebra of a $p$-adic split reductive group is commutative. We adapt this strategy in order to show that the spherical derived Hecke algebra is graded-commutative under mild assumptions on the coefficient ring.

expanded exposition, minor changes, to appear in Int. Math. Res. Not. IMRN

References in corpus (1)

• Derived Hecke algebra and cohomology of arithmetic groups