CHERN CHARACTER FOR THE SCHWARTZ ALGEBRA OF p-ADIC GL(n)

Abstract

Let G denote the p-adic group GL(n), and let S(G) denote the Schwartz algebra of G. We construct a Chern character from the K-theory of the reduced C*-algebra of G to the periodic cyclic homology of S(G) which becomes an isomorphism after tensoring over ℤ with [Copf ].