Persistence approximation property and controlled operator K-theory

Hervé Oyono-Oyono (1) , Guoliang Yu (2)

1 IECL - Institut Élie Cartan de Lorraine
2 Departement of mathematics, Texas A&M University

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.

Mots clés: Géométrie coarse; algèbres de Roe; algèbres de Roe.; Conjecture de Baum-Connes; Conjecture de Novikov; K-théorie des algèbres d'opérateurs

Domaines: Algèbres d'opérateurs [math.OA]; Géométrie métrique [math.MG]

Hervé Oyono-Oyono, Guoliang Yu. Persistence approximation property and controlled operator K-theory. Münster Journal of Mathematics, 2017, 10 (2), pp.201. ⟨10.48550/arXiv.1403.7499⟩. ⟨hal-00967531⟩