TY  - JOUR
AB  - We provide a complete invariant for graph C*-algebras which are amplified in the sense that whenever there is an edge between two vertices, there are infinitely many. The invariant used is the standard primitive ideal space adorned with a map into {−1, 0, 1, 2,...}, and we prove that the classification result is strong in the sense that isomorphisms at the level of the invariant always lift. We extend the classification result to cover more graphs, and give a range result for the invariant (in the vein of Effros–Handelman–Shen) which is further used to prove that extensions of graph C*-algebras associated to amplified graphs are again graph C*-algebras of amplified graphs.
AU  - Eilers, Søren
AU  - Ariza Ruiz, Efrén Danilo
AU  - Ariza, Efren Danilo
AU  - Sørensen, Adam P. W.
DA  - 2012
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 121
PY  - 2012
SP  - 121-150
T2  - Münster Journal of Mathematics
TI  - Amplified graph C*-algebras
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-88399589618
Y2  - 2024-11-21T23:48:38
ER  -