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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Extensions contained in ideals


Author: Dan Kucerovsky
Journal: Trans. Amer. Math. Soc. 356 (2004), 1025-1043
MSC (2000): Primary 19K35; Secondary 46L85, 46L80
Published electronically: August 25, 2003
MathSciNet review: 1984466
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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
Published electronically: August 25, 2003
Additional Notes: This research was supported by the NSERC, under grant # 228065–00
Article copyright: © Copyright 2003 American Mathematical Society