Gauge-invariant ideals of C*-algebras of Boolean dynamical systems
Abstract
We enlarge the class of -algebras of Boolean dynamical systems in order to include all weakly left-resolving normal labelled space -algebras in it. We prove a gauge-invariant uniqueness theorem and classify all gauge-invariant ideals of these -algebras of generalized Boolean dynamical systems and describe the corresponding quotients as -algebras of relative generalized Boolean dynamical systems.
Keywords
Cite
@article{arxiv.1911.12172,
title = {Gauge-invariant ideals of C*-algebras of Boolean dynamical systems},
author = {Toke Meier Carlsen and Eun Ji Kang},
journal= {arXiv preprint arXiv:1911.12172},
year = {2021}
}
Comments
28 pages. Version 2 is a slightly revised version of version 1, and is the version that was published in Journal of Mathematical Analysis and Applications. In version 2 (and the published version), there were some small mistakes on page 24 and in the proof of Lemma 7.2.(2) on page 25. They have been corrected in version 3 (see also https://doi.org/10.1016/j.jmaa.2020.124754)