Cohomology of property T groupoids and applications

Details Cohomology of property T groupoids and applications Cohomology of property T groupoids and applications

2003-08-18

arxiv.org/abs/math/0308158v1

Mathematics

Dynamical Systems

43 pages

Scientific paper

We extend the Delorme-Guichardet characterization of Kazhdan property $T$
groups to $r$-discrete measured groupoids. We give several applications, in
particular to stability results of Kazhdan property $T$ and to the study of
cocycles taking values in a group having the Haagerup property.

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