Cyclically Ordered Groups and Their Operator Algebras
Rizky Rosjanuardi

Department of Mathematics Education
FPMIPA
Universitas Pendidikan Indonesia

Abstract

Suppose (G,+,R) is a cyclically ordered abelian group. Motivated by the class of linearly ordered abelian groups, in this article will be discussed a fundamental aspect which enables ones to seeing the relation between the class of cyclically ordered groups and the theory of operator algebra. Some developments of aspects in operator algebra which related with the class of such groups also will be discussed.

Keywords: cyclic order, group, operator algebra

Topic: Mathematics