### Chern character for the Schwartz algebra of p-adic GL(n), by Jacek Brodzki and Roger Plymen

We construct a Chern character map from the K-theory of the reduced C^*
algebra of the p-adic GL(n) with values in the periodic cyclic homology of
the Schwartz algebra of this group. We prove that this map is an isomorphism
after tensoring with C by comparing an explicit formula, stated in the
algebraic case by Cuntz and Quillen, with the classical Chern character.
This Chern character is a crucial ingredient in the proof of the Baum-Connes
conjecture for the p-adic GL(n) due to Baum, Higson and Plymen.

Jacek Brodzki <brodzki@maths.ex.ac.uk>

Roger Plymen <roger@ma.man.ac.uk>