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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On character groups arising from dimension groups


Author: Ryan J. Zerr
Journal: Proc. Amer. Math. Soc. 134 (2006), 1849-1856
MSC (2000): Primary 22A22, 46L80, 47L40
Published electronically: December 15, 2005
MathSciNet review: 2207502
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Abstract: Character groups associated with certain dimension groups are considered. It is shown how these character groups can be used to construct an AF groupoid whose dimension group is isomorphic to the original dimension group.


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Additional Information

Ryan J. Zerr
Affiliation: Department of Mathematics, University of North Dakota, Grand Forks, North Dakota 58202
Email: ryan.zerr@und.nodak.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08185-2
PII: S 0002-9939(05)08185-2
Keywords: AF C$^*$-algebras, dimension groups, character groups
Received by editor(s): January 10, 2005
Received by editor(s) in revised form: January 28, 2005
Published electronically: December 15, 2005
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.