‘‘Real’’ Subalgebras of -Algebras

‘‘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
Format: Artikel
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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Zusammenfassung: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223060197