matatecsМатематика и теоретические компьютерные наукиMathematics and Theoretical Computer Science2949-3919Казанский (Приволжский) федеральный университет10.26907/2949-3919.2024.3.29-45matatecs-51Research ArticleСТАТЬИПолугрупповая C∗-алгебра, порожденная свободным произведением абелевых полугруппSemigroup C∗-algebras generated by a free product of abelian semigroupsГригорянС. А.GrigoryanS. А.Сурен Аршакович Григорян

ул. Красносельская, д. 51, г. Казань, 420066

Suren Arshakovich Grigoryan

51 Krasnoselskaya str., Kazan 420066

ГригорянТ. А.GrigoryanT. A.Тамара Анатольевна Григорян

ул. Красносельская, д. 51, г. Казань, 420066

Tamara Anatolievna Grigoryan

51 Krasnoselskaya str., Kazan 420066

Казанский государственный энергетический университетРоссияKazan State Power-Engineering UniversityRussian Federation202420102024232945Copyright © Григорян С.А., Григорян Т.А., 20242024Григорян С.А., Григорян Т.А.Grigoryan S.А., Grigoryan T.A.This work is licensed under a Creative Commons Attribution 4.0 License.https://matatecs.elpub.ru/jour/article/view/51

Исследуются полугрупповые C∗-алгебры, порожденные регулярным представлением свободных произведений абелевых полугрупп. Приведен критерий простоты таких алгебр, описаны характеры, градуировка и ряд других свойств.

The article deals with semigroup C∗-algebras generated by regular representations of free products of abelian semigroups. A criterion of the simplicity of this algebras is obtained, characters, grading and a number of other properties are described.

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The authors declare that there are no conflicts of interest present.