Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590575 | Journal of Functional Analysis | 2014 | 21 Pages |
Abstract
For a continuous field of C⁎-algebras A, we give a criterion to ensure that the stable rank of A is one. In the particular case of a trivial field this leads to a characterization of stable rank one, completing accomplishments by Nagisa, Osaka and Phillips. Further, for certain continuous fields of C⁎-algebras, we study when the Cuntz semigroup satisfies the Riesz interpolation property, and we also analyze the structure of its functionals. As an application, we obtain a positive answer to a conjecture posed by Blackadar and Handelman in a variety of situations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ramon Antoine, Joan Bosa, Francesc Perera, Henning Petzka,