Note on the kasparov product of C*-algebra extensions

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES（2013）

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摘要

Using 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.

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关键词

extension,Kasparov product,KK-group

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