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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
Posted:
December 15, 2005
MathSciNet review:
2207502
Full-text PDF Free Access
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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.
References
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E. Hewitt and K. A. Ross, Abstract harmonic analysis I, 2nd ed., Grundlehren der math. Wiss., vol. 115, Springer-Verlag, Berlin, Heidelberg, New York, 1979. MR 0551496 (81k:43001)
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Justin R. Peters and Ryan J. Zerr, Partial dynamical systems and AF C
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Stephen C. Power, Limit algebras: An introduction to subalgebras of C
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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
Posted:
December 15, 2005
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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