Geometric Structure of Dimension Functions of Certain Continuous Fields
Operator Algebras
2013-06-07 v3
Abstract
In this paper we study structural properties of the Cuntz semigroup and its functionals for continuous fields of C*-algebras over finite dimensional spaces. In a variety of cases, this leads to an answer to a conjecture posed by Blackadar and Handelman. Enroute to our results, we determine when the stable rank of continuous fields of C*-algebras over one dimensional spaces is one.
Keywords
Cite
@article{arxiv.1305.7495,
title = {Geometric Structure of Dimension Functions of Certain Continuous Fields},
author = {Ramon Antoine and Joan Bosa and Francesc Perera and Henning Petzka},
journal= {arXiv preprint arXiv:1305.7495},
year = {2013}
}
Comments
Minor corrections and additions; Improvement of proposition 1.8