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Rizky Rosjanuardi, Sumanang M. Gozali, Imam N. Albania,

Faithful Representations of Semigroup Crossed Products by Endomorphisms.

Int. J. Math. Comput. Sci., 20, no. 1, (2025), 307-312

DOI:

https://doi.org/10.69793/ijmcs/01.2025/rizky

Keywords and phrases:

Semigroup crossed product, endomorphism, free Abelian group, cyclically ordered group.

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.