Geodesic
Note on the Kasparov Product of C*-algebra Extensions
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 870-880

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DOI

Using the Dadarlat isomorphism, we give a characterization for the Kasparov product of ${{C}^{*}}$ -algebra extensions. A certain relation between $KK\left( A,\,Q\left( B \right) \right)$ and $KK\left( A,\,Q\left( KB \right) \right)$ is also considered when $B$ is not stable, and it is proved that $KK\left( A,\,Q\left( B \right) \right)$ and $KK\left( A,\,Q\left( KB \right) \right)$ are not isomorphic in general.
DOI : 10.4153/CMB-2012-001-3
Mots-clés : 46L80, extension, Kasparov product, KK-group 
Wei, Changguo. Note on the Kasparov Product of C*-algebra Extensions. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 870-880. doi: 10.4153/CMB-2012-001-3
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     author = {Wei, Changguo},
     title = {Note on the {Kasparov} {Product} of {C*-algebra} {Extensions}},
     journal = {Canadian mathematical bulletin},
     pages = {870--880},
     year = {2013},
     volume = {56},
     number = {4},
     doi = {10.4153/CMB-2012-001-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-001-3/}
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