# Holomorphic duality for countable discrete groups

@article{SSAkbarov2020HolomorphicDF, title={Holomorphic duality for countable discrete groups}, author={S.S.Akbarov}, journal={arXiv: Functional Analysis}, year={2020} }

In 2008, the author proposed a version of duality theory for (not necessarily, Abelian) complex Lie groups, based on the idea of using the Arens-Michael envelope of topological algebra and having an advantage over existing theories in that the enclosing category in it consists of Hopf algebras in the classical sense. Recently these results were refined and corrected by O.Yu.Aristov. In this paper, we propose a generalization of this theory to the class of (not necessarily Abelian) countable… Expand

#### 2 Citations

On tensor fractions and tensor products in the category of stereotype spaces.

- Mathematics
- 2020

We prove two identities that connect some natural tensor products in the category $\sf{LCS}$ of locally convex spaces with the tensor products in the category $\sf{Ste}$ of stereotype spaces. In… Expand

An analytic criterion for the local finiteness of a countable semigroup

- Mathematics
- 2021

X iv :2 10 4. 03 23 0v 1 [ m at h. FA ] 7 A pr 2 02 1 AN ANALYTIC CRITERION FOR THE LOCAL FINITENESS OF A COUNTABLE SEMIGROUP O. YU. ARISTOV Abstract. We prove that a countable semigroup S is locally… Expand

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