

Algebras in Analysis
December 8, 2017 18:05, Moscow, Lomonosov Moscow State University, room 1320.






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.

