论文标题

可计数分组的全态双重性

Holomorphic duality for countable discrete groups

论文作者

Akbarov, S. S.

论文摘要

2008年,作者根据使用拓扑代数的Arens-Michael信封的想法(不一定是Abelian)复杂群体提出了二元性理论(不一定是Abelian)谎言群体,并且比现有理论具有优势,因为它的封闭类别在其古典意义上是由Hopf代数组成的。最近,这些结果得到了完善并通过O.Yu.Aristov进行了纠正。在本文中,我们提出将该理论概括为(不一定是Abelian)可数离散群体的类别。

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 discrete groups.

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