English

Persistence approximation property and controlled operator K-theory

Operator Algebras 2014-03-31 v1 Metric Geometry

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.

Keywords

Cite

@article{arxiv.1403.7499,
  title  = {Persistence approximation property and controlled operator K-theory},
  author = {Hervé Oyono-Oyono and Guoliang Yu},
  journal= {arXiv preprint arXiv:1403.7499},
  year   = {2014}
}

Comments

55 pages

R2 v1 2026-06-22T03:37:36.357Z