PRIMITIVE IDEALS OF TOEPLITZ ALGEBRA OF ORDERED GROUPS

Rizky Rosjanuardi

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


Keywords


Toeplitz algebra, totally ordered group, primitive ideal.

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

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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