Open AccessOne-parameter continuous fields of Kirchberg algebras with rational $K$-theory
Author(s) -
Rasmus Bentmann,
Marius Dădărlat
Publication year - 2015
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc12742
Subject(s) - isomorphism (crystallography) , separable space , mathematics , pure mathematics , k theory (physics) , interval (graph theory) , discrete mathematics , combinatorics , mathematical analysis , crystallography , chemistry , crystal structure , cohomology
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.
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