Cyclic cohomology of certain nuclear Fréchet and DF algebras
| dc.creator | Lykova, Zinaida A. | |
| dc.date | 2007-04-08 | |
| dc.date | 2007-09-12 | |
| dc.date.accessioned | 2026-07-07T08:28:38Z | |
| dc.date.available | 2026-07-07T08:28:38Z | |
| dc.description | We give explicit formulae for the continuous Hochschild and cyclic homology and cohomology of certain topological algebras. To this end we show that, for a continuous morphism $ϕ: \X\to \Y$ of complexes of complete nuclear $DF$-spaces, the isomorphism of cohomology groups $H^n(ϕ): H^n(\X) \to H^n(\Y)$ is automatically topological. The continuous cyclic-type homology and cohomology are described up to topological isomorphism for the following classes of biprojective $\hat{\otimes}$-algebras: the tensor algebra $E \hat{\otimes} F$ generated by the duality $(E, F, < \cdot, \cdot >)$ for nuclear Fréchet spaces $E$ and $F$ or for nuclear $DF$-spaces $E$ and $F$; nuclear biprojective Köthe algebras $λ(P)$ which are Fréchet spaces or $DF$-spaces; the algebra of distributions $\mathcal{E}^*(G)$ on a compact Lie group $G$. | |
| dc.description | Propositions 4.2 and 4.3 have been added and some minor mistakes have been corrected. 19 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1019 | |
| dc.identifier | http://arxiv.org/abs/0704.1019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137687 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Functional Analysis | |
| dc.subject | 19D55, 46H99 | |
| dc.title | Cyclic cohomology of certain nuclear Fréchet and DF algebras | |
| dc.type | text |