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

2013/06/07 by Bentmann, Rasmus, Dadarlat, Marius
#19K35 #46L35 #46L80 #46M20 #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1306.1691

Abstract

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

Related

• Continuous Fields of Kirchberg C*-algebras
• Fiberwise KK-equivalence of continuous fields of C*-algebras
• Continuous fields of C*-algebras over finite dimensional spaces
• Classification of \mathcal O_∞-stable C^∗-algebras
• Symmetries of Kirchberg algebras