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The Ideal Structure of Toeplitz Algebras |
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| Authors: | |
| Institution: | (1) Department of Mathematics, Institut Teknologi Bandung, Ganesha 10, Bandung, Indonesia;(2) Department of Mathematics, University of Newcastle, 2308, NSW, Australia |
| Abstract: | We investigate the ideal structure of the Toeplitz algebra
of a totally ordered abelian group
. We show that the primitive ideals of
are parametrised by the disjoint union
of the duals
of the order ideals
of
, and identify the
hull-kernel topology on
when the chain of orderideals in
is isomorphic to a subset of
 |
| Keywords: | 46L55 |
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