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Algebras in Analysis
December 8, 2017 18:05, Moscow, Lomonosov Moscow State University, room 13-20.
 


Group structures and their applications to categories of analysis and topological algebra

R. N. Gumerov

Kazan (Volga Region) Federal University

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Abstract: Given a covering space of a compact topological group, we consider the problem of whether the group structure can be lifted to the covering space in such a way that the respective covering map becomes a group homomorphism. We discuss some applications to polynomials over the Banach algebra of continuous functions on a compact abelian group. We also consider some properties of morphisms of topological groups and of related semigroup $C^*$-algebras.

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