Geodesic
A More General Method to Classify up to Equivariant $KK$-Equivalence
Documenta mathematica, Tome 22 (2017), pp. 423-454
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Using a homological invariant together with an obstruction class in a certain Ext2-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∗-algebras, C∗-algebras over finite unique path spaces, and graph C∗-algebras with finitely many ideals.
DOI : 10.4171/dm/570
Classification : 19K35, 46L35, 46L80
Mots-clés : classification, K-theory, non-simple C∗-algebras, KK-theory 
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     author = {Rasmus Bentmann and Ralf Meyer},
     title = {A {More} {General} {Method} to {Classify} up to {Equivariant} $KK${-Equivalence}},
     journal = {Documenta mathematica},
     pages = {423--454},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/570},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/570/}
}
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Rasmus Bentmann; Ralf Meyer. A More General Method to Classify up to Equivariant $KK$-Equivalence. Documenta mathematica, Tome 22 (2017), pp. 423-454. doi: 10.4171/dm/570

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