Geometric classification of simple graph algebras
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Geometric classification of simple graph algebras. / Sørensen, Adam Peder Wie.
I: Ergodic Theory and Dynamical Systems, Bind 33, Nr. 4, 2013, s. 1199-1220.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Geometric classification of simple graph algebras
AU - Sørensen, Adam Peder Wie
PY - 2013
Y1 - 2013
N2 - Inspired by Franks’ classification of irreducible shifts of finite type, we provide a short list of allowed moves on graphs that preserve the stable isomorphism class of the associated C ∗ -algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.
AB - Inspired by Franks’ classification of irreducible shifts of finite type, we provide a short list of allowed moves on graphs that preserve the stable isomorphism class of the associated C ∗ -algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.
U2 - 10.1017/S0143385712000260
DO - 10.1017/S0143385712000260
M3 - Journal article
VL - 33
SP - 1199
EP - 1220
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 4
ER -
ID: 99243300