KMS states and groupoid C*-algebras

[Math. Dept.]

June 14, 2019  10:30-11:30

W303  School of Mathematics

0614Jean Renault-01.jpg


Jean Renault (University of Orleans)


I will illustrate the use of groupoids in the study of KMS states and weights on C*-algebras. The KMS condition, which was introduced in quantum statistical mechanics to characterize equilibrium states, plays a crucial role in the theory of von Neumann algebras. The study of KMS states and their phase transitions on specific C*-algebras, in particular graph algebras, is an active field of research where the groupoid techniques are well adapted.


Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University