Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591590 | Journal of Functional Analysis | 2011 | 37 Pages |
Abstract
In this paper we analyse the structure of the Cuntz semigroup of certain C(X)-algebras, for compact spaces of low dimension, that have no K1-obstruction in their fibres in a strong sense. The techniques developed yield computations of the Cuntz semigroup of some surjective pullbacks of C⁎-algebras. As a consequence, this allows us to give a complete description, in terms of semigroup valued lower semicontinuous functions, of the Cuntz semigroup of C(X,A), where A is a not necessarily simple C⁎-algebra of stable rank one and vanishing K1 for each closed, two-sided ideal. We apply our results to study a variety of examples.
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