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International Conference on Algebra, Analysis and Geometry - 2021
August 26, 2021 17:10, Kazan, Kazan Federal University


Extensions of semigroups and Banach modules

E. V. Lipacheva

Kazan State Power Engineering University



Abstract: We consider the normal extensions of semigroups. The reduced semigroup $C^*$-algebras are associated with these extensions. We study the structure of a Banach module on the underlying space of the reduced semigroup $C^*$-algebra defined for a semigroup that is an extension of another semigroup by a finite group

Keywords: cancellative semigroup, normal extension of semigroup, reduced semigroup $C^*$-algebra, Banach module, free Banach module.

Website: https://zoom.us/j/91819779435?pwd=K1llRzUyV1VCclMzQjRtUEFpMzhYQT09

* Zoom conference ID: 918 1977 9435 , password: 633421


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