Quasi-isometry Invariance of Novikov-shubin Invariants for Amenable Groups

نویسنده

  • ROMAN SAUER
چکیده

We use the notion of uniform measure equivalence to prove that the Novikov-Shubin invariants resp. the capacities of amenable groups are invariant under quasi-isometry. Further, we comment on the connection to Gaboriau’s theorem on the invariance of L-Betti numbers under orbit equivalence.

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تاریخ انتشار 2003