Ultragraph C*-algebras via topological quivers

• Autorzy: Takeshi Katsura , Paul S. Muhly , Aidan Sims , Mark Tomforde
• Języki publikacji: EN

Abstrakty

EN

Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

Kategorie tematyczne

• 46L05: General theory of C * -algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 187
• Numer: 2
• Strony: 137-155

Daty

wydano

2008

Twórcy

autor

Takeshi Katsura

• Department of Mathematics, Keio University, Yokohama, 223-8522, Japan

autor

Paul S. Muhly

• Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, U.S.A.

autor

Aidan Sims

• School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia

autor

Mark Tomforde

• Department of Mathematics, University of Houston, Houston, TX 77204-3008, U.S.A.

Identyfikatory

DOI

10.4064/sm187-2-3