Hochschild cohomology of tensor products of topological algebras [PDF]
AbstractWe describe explicitly the continuous Hochschild and cyclic cohomology groups of certain tensor products of $\widehat{\otimes}$-algebras which are Fréchet spaces or nuclear DF-spaces. To this end we establish the existence of topological isomorphisms in the Künneth formula for the cohomology of complete nuclear DF-complexes and in the Künneth ...
Zinaida A. Lykova
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Tensor products of topological abelian groups and Pontryagin duality
Let $G$ be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group $G$ is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of the group of integers, and equipped with the topology of pointwise convergence on $\ZZ^\NN$, becomes a non reflexive prodiscrete group.
María V. Ferrer+2 more
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Tensor products of multimatroids and a Brylawski-type formula for the transition polynomial [PDF]
Brylawski's tensor product formula expresses the Tutte polynomial of the tensor product of two graphs in terms of Tutte polynomials arising from the tensor factors. We are concerned with extensions of Brylawski's tensor product formula to the Bollobas-Riordan and transition polynomials of graphs embedded in surfaces.
Moffatt, Iain+2 more
arxiv +2 more sources
Topological Tensor Products of Unbounded Operator Algebras on Frechet Domains
The aim of this paper is to investigate topological properties of unbounded operator algebras \mathcal A⊂L^+(D) and its stability under the formation of topological tensor products \mathcal A_1 \otimes_\alpha \mathcal A_2 . It is used
Wolf‐Dieter Heinrichs
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Topological properties of spaces of ideals of the minimal tensor product
One shows that for two C^*-algebras A_1 and A_2 any continuous function on Prim(A_1)\times Prim(A_2) can be continuously extended to Prim(A_1\otimes A_2) provided it takes its values in a T_1 topological space. This generalizes a 1977 result of L.G. Brown. A new proof is given for a result of R.J.
Aldo J. Lazar
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Topological modules. Banach algebras, tensor products, algebras of kernels [PDF]
Jesús Gil de Lamadrid
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On the tensor product of a class of non-locally convex topological vector spaces [PDF]
W. Deeb, Roshdi Khalil
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Topological tensor products of a Fréchet-Schwartz space and a Banach space [PDF]
Alfredo Peris
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Coproducts in the category Seg of Segal topological algebras [PDF]
In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
doaj +1 more source
The diagonal of the multiplihedra and the tensor product of
We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule structure over the Loday realizations of the associahedra.
Guillaume Laplante-Anfossi+1 more
semanticscholar +1 more source