ConnesFeldmanWeiss

Connes-Feldman-Weiss conjecture is a significant open problem in the field of operator algebras and mathematical physics. It was proposed by Alain Connes, Daniel Feldman, and Gregory Weiss in 1998. The conjecture is a generalization of the Baum-Connes conjecture, which relates the K-theory of a topological space to the K-theory of its associated C*-algebra.

The Connes-Feldman-Weiss conjecture applies to foliations, which are generalizations of manifolds. It posits that the K-theory of a foliation is isomorphic to the K-theory of a certain C*-algebra associated with the foliation. This conjecture has deep implications for the study of foliations and their geometric properties.

The conjecture has been studied extensively, and partial results have been obtained. However, a complete proof remains elusive. It is considered one of the most challenging open problems in the field of operator algebras and mathematical physics. The conjecture has also inspired further research and the development of new techniques in the study of foliations and C*-algebras.