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A Hilbert bundle characterization of Hilbert C*-modules
Author(s):
George
A.
Elliott;
Katsunori
Kawamura
Journal:
Trans. Amer. Math. Soc.
360
(2008),
4841-4862.
MSC (2000):
Primary 46L05
Posted:
April 24, 2008
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Additional information
Abstract:
The category of Hilbert C*-modules over a given C*-algebra is shown to be equivalent to a certain simply described category of Hilbert bundles (i.e., continuous fields of Hilbert spaces) over the space of pure states of the C*-algebra with the zero functional adjoined.
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Additional Information:
George
A.
Elliott
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada M5S 2E4
Email:
elliott@math.toronto.edu
Katsunori
Kawamura
Affiliation:
Department of Mathematics, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan
Email:
kawamura@kurims.kyoto-u.ac.jp
DOI:
10.1090/S0002-9947-08-04600-X
PII:
S 0002-9947(08)04600-X
Received by editor(s):
August 28, 2006
Posted:
April 24, 2008
Additional Notes:
The work of the first author was supported by a grant from the Natural Sciences and Engineering Research Council of Canada.
Copyright of article:
Copyright
2008,
American Mathematical Society
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