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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

On absorbing extensions

Author(s): Klaus Thomsen
Journal: Proc. Amer. Math. Soc. 129 (2001), 1409-1417.
MSC (2000): Primary 46L80, 19K35
Posted: October 25, 2000
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Abstract | References | Similar articles | Additional information

Abstract: Building on the work of Kasparov we show that there always exists a trivial absorbing extension of $A$ by $B \otimes \mathcal K$, provided only that $A$ and $B$ are separable. If $A$ is unital there is a unital trivial extension which is unitally absorbing.


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K. Knudsen-Jensen and K. Thomsen, Elements of $KK$-theory, Birkhäuser, Boston, 1991. MR 94b:19008

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W. Paschke, $K$-theory for commutants in the Calkin algebra, Pacific J. Math. 95 (1981), 427-437. MR 82k:46101

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Additional Information:

Klaus Thomsen
Affiliation: Institut for matematiske fag, Ny Munkegade, 8000 Aarhus C, Denmark
Email: matkt@imf.au.dk

DOI: 10.1090/S0002-9939-00-05936-0
PII: S 0002-9939(00)05936-0
Received by editor(s): August 11, 1999
Posted: October 25, 2000
Communicated by: David R. Larson
Copyright of article: Copyright 2000, American Mathematical Society


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