PRIMITIVE IDEALS OF TOEPLITZ ALGEBRA OF ORDERED GROUPS

Rizky Rosjanuardi

doi:10.22342/jims.14.2.55.111-119

Rizky Rosjanuardi ⁽¹⁾

(1) Department of Mathematics Education, Universitas Pendidikan Indonesia (UPI), Bandung 40154, Indonesia., Indonesia

https://doi.org/10.22342/jims.14.2.55.111-119

Issue
Volume 14 Number 2 (October 2008)

Submitted
May 14, 2012

Accepted
June 3, 2012

Published
June 3, 2012

Keywords:

Toeplitz algebra, totally ordered group, primitive ideal.

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Abstract

The topology on primitive ideal space of Toeplitz algebras of totally ordered abelian groups can be identified through the upwards-looking topology if and only if the chain of order ideals is well-ordered. We describe the topology on primitive ideal space of Toeplitz algebra of totally ordered abelian groups when the chain of order ideals is not well ordered.

DOI : http://dx.doi.org/10.22342/jims.14.2.55.111-119

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Authors

Rizky Rosjanuardi

Department of Mathematics Education, Universitas Pendidikan Indonesia (UPI), Bandung 40154, Indonesia.

penulis@jims-a.org (Primary Contact)

Rosjanuardi, R. (2012). PRIMITIVE IDEALS OF TOEPLITZ ALGEBRA OF ORDERED GROUPS. Journal of the Indonesian Mathematical Society, 14(2), 111–119. https://doi.org/10.22342/jims.14.2.55.111-119