Note on the Kasparov Product of C*-algebra Extensions
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Published:2013-12-01
Issue:4
Volume:56
Page:870-880
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Abstract
AbstractUsing the Dadarlat isomorphism, we give a characterization for the Kasparov product of C*-algebra extensions. A certain relation between KK(A;𝓠(B)) and KK(A;𝓠(KB)) is also considered when B is not stable, and it is proved that KK(A;𝓠(B)) and KK(A;𝓠(KB)) are not isomorphic in general.
Publisher
Canadian Mathematical Society
Subject
General Mathematics