Faithful Representations of Semigroup Crossed Products by Endomorphisms

Given a cyclically ordered free Abelian group G, a unital C^*-algebra A, and a semigroup homomorphism alpha from P(G) into the semigroup Endo(A), we characterize faithful representations of crossed product Ax_{alpha} P(G) by endomorphisms.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2024-10-28
DOI
https://doi.org/10.69793/ijmcs/01.2025/rizky
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Faithful Representations of Semigroup Crossed Products by Endomorphisms

Imam Nugraha Albania, Rizky Rosjanuardi, Sumanang Muhtar Gozali
International journal of mathematics and computer science
semigroups and automata theory
article

Faithful Representations of Semigroup Crossed Products by Endomorphisms

Imam Nugraha Albania, Rizky Rosjanuardi, Sumanang Muhtar Gozali
article en

Abstract

Given a cyclically ordered free Abelian group G, a unital C^*-algebra A, and a semigroup homomorphism alpha from P(G) into the semigroup Endo(A), we characterize faithful representations of crossed product Ax_{alpha} P(G) by endomorphisms.

International journal of mathematics and computer science
Openalex Percentile: Top 77%
semigroups and automata theory
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Faithful Representations of Semigroup Crossed Products by Endomorphisms — Imam Nugraha Albania, Rizky Rosjanuardi, et al. · International journal of mathematics and computer science (2024) | TGRS Research Map | TGRS