Graph C*-Algebras with a T1 Primitive Ideal Space

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt

Standard

Graph C*-Algebras with a T1 Primitive Ideal Space. / Gabe, James 'Jamie'.

Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. red. / Toke M. Clausen; Søren Eilers; Gunnar Restorff; Sergei Silvestrov. Springer, 2013. s. 141-156 (Springer Proceedings in Mathematics & Statistics , Bind 58).

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt

Harvard

Gabe, JJ 2013, Graph C*-Algebras with a T1 Primitive Ideal Space. i TM Clausen, S Eilers, G Restorff & S Silvestrov (red), Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. Springer, Springer Proceedings in Mathematics & Statistics , bind 58, s. 141-156. https://doi.org/10.1007/978-3-642-39459-1_7

APA

Gabe, J. J. (2013). Graph C*-Algebras with a T1 Primitive Ideal Space. I T. M. Clausen, S. Eilers, G. Restorff, & S. Silvestrov (red.), Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012 (s. 141-156). Springer. Springer Proceedings in Mathematics & Statistics Bind 58 https://doi.org/10.1007/978-3-642-39459-1_7

Vancouver

Gabe JJ. Graph C*-Algebras with a T1 Primitive Ideal Space. I Clausen TM, Eilers S, Restorff G, Silvestrov S, red., Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. Springer. 2013. s. 141-156. (Springer Proceedings in Mathematics & Statistics , Bind 58). https://doi.org/10.1007/978-3-642-39459-1_7

Author

Gabe, James 'Jamie'. / Graph C*-Algebras with a T1 Primitive Ideal Space. Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. red. / Toke M. Clausen ; Søren Eilers ; Gunnar Restorff ; Sergei Silvestrov. Springer, 2013. s. 141-156 (Springer Proceedings in Mathematics & Statistics , Bind 58).

Bibtex

@inproceedings{fbd4b0cf2ee246ecaba20091fab4caad,
title = "Graph C*-Algebras with a T1 Primitive Ideal Space",
abstract = "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",
author = "Gabe, {James 'Jamie'}",
year = "2013",
doi = "10.1007/978-3-642-39459-1_7",
language = "English",
isbn = "9783642394584",
series = "Springer Proceedings in Mathematics & Statistics ",
pages = "141--156",
editor = "Clausen, {Toke M.} and Eilers, {S{\o}ren } and Restorff, {Gunnar } and Silvestrov, {Sergei }",
booktitle = "Operator Algebra and Dynamics",
publisher = "Springer",
address = "Switzerland",

}

RIS

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T1 - Graph C*-Algebras with a T1 Primitive Ideal Space

AU - Gabe, James 'Jamie'

PY - 2013

Y1 - 2013

N2 - 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

AB - 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

U2 - 10.1007/978-3-642-39459-1_7

DO - 10.1007/978-3-642-39459-1_7

M3 - Article in proceedings

SN - 9783642394584

T3 - Springer Proceedings in Mathematics & Statistics

SP - 141

EP - 156

BT - Operator Algebra and Dynamics

A2 - Clausen, Toke M.

A2 - Eilers, Søren

A2 - Restorff, Gunnar

A2 - Silvestrov, Sergei

PB - Springer

ER -

ID: 97157824