Ultragraph C*-algebras via topological quivers

Takeshi Katsura, et al. "Ultragraph C*-algebras via topological quivers." Studia Mathematica 187.2 (2008): 137-155. <http://eudml.org/doc/285327>.

@article{TakeshiKatsura2008,
abstract = {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.},
author = {Takeshi Katsura, Paul S. Muhly, Aidan Sims, Mark Tomforde},
journal = {Studia Mathematica},
keywords = {C*-algebras; ultragraphs; topological graphs},
language = {eng},
number = {2},
pages = {137-155},
title = {Ultragraph C*-algebras via topological quivers},
url = {http://eudml.org/doc/285327},
volume = {187},
year = {2008},
}

TY - JOUR
AU - Takeshi Katsura
AU - Paul S. Muhly
AU - Aidan Sims
AU - Mark Tomforde
TI - Ultragraph C*-algebras via topological quivers
JO - Studia Mathematica
PY - 2008
VL - 187
IS - 2
SP - 137
EP - 155
AB - 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.
LA - eng
KW - C*-algebras; ultragraphs; topological graphs
UR - http://eudml.org/doc/285327
ER -