@article {
author = {Imanfar, Mostafa and Pourabbas, Abdolrasoul and Larki, Hossein},
title = {Primitive Ideal Space of Ultragraph $C^*$-algebras},
journal = {Sahand Communications in Mathematical Analysis},
volume = {15},
number = {1},
pages = {147-158},
year = {2019},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.82725.404},
abstract = {In this paper, we describe the primitive ideal space of the $C^*$-algebra $C^*(\mathcal G)$ associated to the ultragraph $\mathcal{G}$. We investigate the structure of the closed ideals of the quotient ultragraph $ C^* $-algebra $C^*\left(\mathcal G/(H,S)\right)$ which contain no nonzero set projections and then we characterize all non gauge-invariant primitive ideals. Our results generalize the Hong and Szyma$ \acute{ \mathrm { n } } $ski's description of the primitive ideal space of a graph $ C ^ * $-algebra by a simpler method.},
keywords = {Ultragraph,Ultragraph $C^*$-algebra,Primitive ideal},
url = {https://scma.maragheh.ac.ir/article_35729.html},
eprint = {https://scma.maragheh.ac.ir/article_35729_73ba5420990970a0ddcac2ce5d817221.pdf}
}