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Extensions contained in ideals
Author:
Dan Kucerovsky
Journal:
Trans. Amer. Math. Soc. 356 (2004), 1025-1043
MSC (2000):
Primary 19K35; Secondary 46L85, 46L80
Posted:
August 25, 2003
MathSciNet review:
1984466
Full-text PDF Free Access
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Additional Information
Abstract: We prove a Weyl-von Neumann type absorption theorem for extensions which are not full, and give a condition for constructing infinite repeats contained in an ideal. We also clear up some questions associated with the purely large criterion for full extensions to be absorbing.
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Additional Information
Dan Kucerovsky
Affiliation:
Department of Mathematics and Statistics, University of New Brunswick-Fredericton, Fredericton, New Brunswick, Canada E3B 5A3
Email:
dkucerov@unb.ca
DOI:
http://dx.doi.org/10.1090/S0002-9947-03-03297-5
PII:
S 0002-9947(03)03297-5
Keywords:
KK--theory,
classification of operator algebras,
absorbing extensions
Received by editor(s):
July 29, 2002
Posted:
August 25, 2003
Additional Notes:
This research was supported by the NSERC, under grant # 228065–00
Article copyright:
© Copyright 2003 American Mathematical Society
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