On Graph C*-Algebras with a Linear Ideal Lattice
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2
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At the cost of restricting the nature of the involved K -groups, we prove a classification result for a hitherto unexplored class of graph C *-algebras, allowing us to classify all graph C *-algebras on finitely many vertices with a finite linear ideal lattice if all pair of vertices are connected by infinitely many edges when they are connected at all.
Classification :
Primary: 46L35, 37B10; Secondary: 46M15, 46M18.
@article{BMMS_2010_33_2_a6,
author = {S{\o}ren Eilers and Gunnar Restor and Efren Ruiz},
title = {On {Graph} {C*-Algebras} with a {Linear} {Ideal} {Lattice}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2010},
volume = {33},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a6/}
}
Søren Eilers; Gunnar Restor; Efren Ruiz. On Graph C*-Algebras with a Linear Ideal Lattice. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a6/