most citedCyclic cohomology of certain nuclear Fréchet and DF algebras

4 citations · 4 across the 2 of their papers we have counts for

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math.KT2009

The higher-dimensional amenability of tensor products of Banach algebras

Zinaida A. Lykova

We investigate the higher-dimensional amenability of tensor products $\A \ptp \B$ of Banach algebras $\A$ and $\B$. We prove that the weak bidimension of the tensor product…

math.KT2007

The Künneth formula for nuclear -spaces and Hochschild cohomology

Zinaida A. Lykova

We consider complexes $(\X, d)$ of nuclear Fréchet spaces and continuous boundary maps with closed ranges and prove that, up to topological isomorphism, $ (H_{n}(\X, d))^*$ $…

math.KT2007★ 4 cited

Cyclic cohomology of certain nuclear Fréchet and DF algebras

Zinaida A. Lykova

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:…