Persistence approximation property and controlled operator K-theory

2014/03/28 by Hervé Oyono-Oyono, Guoliang Yu, Oyono-Oyono, Hervé +1
Mathematics · #FOS: Mathematics #Metric Geometry (math.MG) #Operator Algebras (math.OA) #math.MG #math.OA

paper · pdf · doi:10.48550/arxiv.1403.7499

55 pages

arxiv created 2014/03/28 · arxiv updated 2014/03/31

Abstract

In this paper, we introduce and study the persistent approximation property for quantitative K-theory of filtered C*-algebras. In the case of crossed product C*-algebras, the persistent approximation property follows from the Baum-Connes conjecture with coefficients. We also discuss some applications of the quantitative K-theory to the Novikov conjecture.

Related

• On a quantitative operator K-theory
• Quantitative K-theory and the Künneth formula for operator algebras
• Approximate ideal structures and K-theory
• A survey on operator K-theory via homotopical algebra
• Dynamical complexity and controlled operator K-theory