One-parameter continuous fields of Kirchberg algebras with rational 𝐾-theory

Bentmann, Rasmus; Dadarlat, Marius

doi:10.1090/proc12742

One-parameter continuous fields of Kirchberg algebras with rational $\mathrm {K}$-theory
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by Rasmus Bentmann and Marius Dadarlat PDF

Proc. Amer. Math. Soc. 143 (2015), 3455-3463 Request permission

Abstract:

We show that separable continuous fields over the unit interval whose fibers are stable Kirchberg algebras that satisfy the universal coefficient theorem in $\mathrm {KK}$-theory (UCT) and have rational $\mathrm {K}$-theory groups are classified up to isomorphism by filtrated $\mathrm {K}$-theory.

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