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).
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More From: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
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