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arXiv · 1305.7495

Geometric Structure of Dimension Functions of Certain Continuous Fields

Ramon Antoine·Joan Bosa·Francesc Perera·Henning Petzka
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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.

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Ramon Antoine, Joan Bosa, Francesc Perera, Henning Petzka. 2013-06-06. Geometric Structure of Dimension Functions of Certain Continuous Fields. https://arxiv.org/abs/1305.7495

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