Cyclically ordered groups and their operator algebras

Rizky Rosjanuardi

doi:10.1063/5.0155838

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Cyclically ordered groups and their operator algebras

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Rizky Rosjanuardi

2023 AIP Conference Proceedings Vol. 2734 Issue 1 Conference paper Cited by 1 SDG 16

Abstract

Suppose (G, +, R) is a commutative group with a cyclic order. Motivated by results on linearly ordered abelian groups (Γ, +, ≤), in this article it will be discussed a fundamental aspect which enables ones to seeing the relation between the theory of cyclically ordered groups and the theory of operator algebras. Some developments of aspects in operator algebra which related with the class of such groups also will be discussed © 2023 Author(s).

Affiliations

Mathematics Study Program, Universitas Pendidikan Indonesia, Bandung, Indonesia

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