L²-Betti numbers and costs in the framework of discrete groupoids

2015/02/05 by Takimoto, Atsushi
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.01555

Abstract

We unify the known basic theories on L²-Betti numbers and costs in the framework of probability measure preserving discrete groupoids.

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• L²-Betti Numbers of Discrete Measured Groupoids
• l2-Betti numbers of discrete and non-discrete groups
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• L²-Betti Numbers of Locally Compact Groups
• L²-Betti numbers and Plancherel measure