‘‘Real’’ Subalgebras of -Algebras

In this paper we consider operator algebras generated by a free product of abelian semigroups. Such algebras are a noncommutative analog of uniform shift-invariant algebras on a compact abelian groups, that are ‘‘real’’ subalgebras of -algebras generated by the regular representation of free product...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2023, Vol.44 (6), p.2020-2026
Hauptverfasser:	Grigoryan, T. A., Sharafutdinov, A. Sh
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Sprache:	eng
Schlagworte:	Algebra Analysis Geometry Group theory Mathematical Logic and Foundations Mathematics Mathematics and Statistics Operators (mathematics) Probability Theory and Stochastic Processes Semigroups
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description	In this paper we consider operator algebras generated by a free product of abelian semigroups. Such algebras are a noncommutative analog of uniform shift-invariant algebras on a compact abelian groups, that are ‘‘real’’ subalgebras of -algebras generated by the regular representation of free products of abelian semigroups. We consider some properties of these algebras.
doi_str_mv	10.1134/S1995080223060197
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subjects	Algebra Analysis Geometry Group theory Mathematical Logic and Foundations Mathematics Mathematics and Statistics Operators (mathematics) Probability Theory and Stochastic Processes Semigroups
title	‘‘Real’’ Subalgebras of -Algebras
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