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arXiv · 1308.2126

Classification of certain continuous fields of Kirchberg algebras

Rasmus Bentmann
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Abstract

We show that the K-theory cosheaf is a complete invariant for separable continuous fields with vanishing boundary maps over a finite-dimensional compact metrizable topological space whose fibers are stable Kirchberg algebras with rational K-theory groups satisfying the universal coefficient theorem. We provide a range result for fields in this class with finite-dimensional K-theory. There are versions of both results for unital continuous fields.

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Rasmus Bentmann. 2013-12-19. Classification of certain continuous fields of Kirchberg algebras. https://doi.org/10.1142/s0129167x14500049

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