Geodesic
A More General Method to Classify up to Equivariant $KK$-Equivalence
Documenta mathematica, Tome 22 (2017), pp. 423-454.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Using a homological invariant together with an obstruction class in a certain Ext$^{2}$-group, we classify objects in triangulated categories that have projective resolutions of length two. This invariant gives strong classification results for actions of the circle group on $C^\ast$-algebras, $C^\ast$-algebras over finite unique path spaces, and graph $C^\ast$-algebras with finitely many ideals.
Classification : 46L35, 18E30, 19K35, 46L80
Keywords: classification, non-simple $C^\ast$-algebras, $K$-theory, $KK$-theory 
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     author = {Bentmann, Rasmus and Meyer, Ralf},
     title = {A {More} {General} {Method} to {Classify} up to {Equivariant} $KK${-Equivalence}},
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Bentmann, Rasmus; Meyer, Ralf. A More General Method to Classify up to Equivariant $KK$-Equivalence. Documenta mathematica, Tome 22 (2017), pp. 423-454. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a39/