Graph C*-Algebras with a T1 Primitive Ideal Space
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
We give necessary and sufficient conditions which a graph should satisfy in order for its associated C∗-algebra to have a T1 primitive ideal space. We give a description of which one-point sets in such a primitive ideal space are open, and use this to prove that anypurely infinite graph C∗-algebrapurely infinite graph C∗-algebra purely infinite graph C∗-algebra with a T1 (in particular Hausdorff) primitive ideal space, is a c0-direct sum of Kirchberg algebras. Moreover, we show that graph C∗-algebras with a T1 primitive ideal space canonically may be given the structure of a C(N ~ ) -algebra, and that isomorphisms of their N ~ -filtered K-theory (without coefficients) lift to E(N ~ ) -equivalences, as defined by Dadarlat and Meyer
Originalsprog | Engelsk |
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Titel | Operator Algebra and Dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012 |
Redaktører | Toke M. Clausen, Søren Eilers, Gunnar Restorff, Sergei Silvestrov |
Forlag | Springer |
Publikationsdato | 2013 |
Sider | 141-156 |
ISBN (Trykt) | 9783642394584 |
ISBN (Elektronisk) | 9783642394591 |
DOI | |
Status | Udgivet - 2013 |
Navn | Springer Proceedings in Mathematics & Statistics |
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Vol/bind | 58 |
ID: 97157824