$L^2$-Betti numbers and costs in the framework of discrete groupoids

Abstract

We unify the known basic theories on $L^2$-Betti numbers and costs in the framework of probability measure preserving discrete groupoids.

21 pages

References in corpus (1)

• $L^2$-homology for inclusions of von Neumann algebras

Cited by in corpus (1)

• Non-standard limits of graphs and some orbit equivalence invariants