Abstract
Relying on 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). © 1999 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
| Translated title of the contribution | Periodic cyclic homology of certain nuclear algebras |
|---|---|
| Original language | French |
| Pages (from-to) | 671-676 |
| Number of pages | 5 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 329 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 15 Oct 1999 |