Cyclically ordered groups and their operator algebras

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 opera...

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Bibliographic Details
Main Author: Rosjanuardi, Rizky
Format: Conference Proceeding
Language:English
Subjects:
Algebra
Group theory
Operators (mathematics)
Online Access:Get full text
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Summary: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
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0155838