K-théorie quantitative pour les algèbres d’opérateurs Academic Article uri icon

abstract

  • © Association des Annales de l'institut Fourier, 2015. In this paper, we develop a quantitative K-theory for filtered C∗-algebras. Particularly interesting examples of filtered C∗-algebras include group C∗-algebras, crossed product C∗-algebras and Roe algebras. We prove a quantitative version of the six term exact sequence and a quantitative Bott periodicity. We apply the quantitative K-theory to formulate a quantitative version of the Baum- Connes conjecture and prove that the quantitative Baum-Connes conjecture holds for a large class of groups.

author list (cited authors)

  • Oyono-Oyono, H., & Yu, G.

citation count

  • 12

complete list of authors

  • Oyono-Oyono, Hervé||Yu, Guoliang

publication date

  • January 2015