Periodic cyclic homology of certain nuclear algebras, by Jacek Brodzki and Roger Plymen

Relying on the properties of the inductive tensor product we construct cyclic type homology theories for certain nuclear algebras. In this context, we establish continuity theorems. We compute the periodic cyclic homology of the Schwartz algebra of p-adic GL(n) in terms of compactly supported de Rham cohomology of the tempered dual of GL(n).


Jacek Brodzki <brodzki@maths.ex.ac.uk>
Roger Plymen <roger@ma.man.ac.uk>