C. Anantharaman-Delaroche and J. Renault
Amenable Groupoids

With a foreword by Georges Skandalis and Appendix B by E. Germain.
softbound, 196 pages, 2000; 47 CHF

The notion of amenability is extended from the classical case of locally compact groups to that of groupoids, both in the measure and the topological settings. This is relevant for group actions, equivalence relations, foliations, and C^*-algebras. The monograph also provides an elegant and comprehensive survey on amenability.

See the review by Robert S. Doran for Mathematical Reviews (American Mathematical Society).