most citedL^2-Betti Numbers of Discrete Measured Groupoids

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math.AT2003★ 8 cited

L^2-Betti Numbers of Discrete Measured Groupoids

Roman Sauer

There are notions of L^2-Betti numbers for discrete groups (Cheeger-Gromov, Lueck), for type II_1-factors (recent work of Connes-Shlyakhtenko) and for countable standard equivalenc…

math.AT2003★ 1 cited

Homological Invariants and Quasi-Isometry

Roman Sauer

Building upon work of Y. Shalom we give a homological-algebra flavored definition of an induction map in group homology associated to a topological coupling. As an application we o…