JournalsggdVol. 14, No. 3pp. 857–869

SS-arithmetic spinor groups with the same finite quotients and distinct 2\ell^2-cohomology

  • Holger Kammeyer

    Karlsruhe Institute of Technology, Germany
  • Roman Sauer

    Karlsruhe Institute of Technology, Germany
$S$-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology cover

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Abstract

In this note we refine examples by Aka from arithmetic to SS-arithmetic groups to show that the vanishing of the ii-th 2\ell^2-Betti number is not a profinite invariant for all i2i \geq 2.

Cite this article

Holger Kammeyer, Roman Sauer, SS-arithmetic spinor groups with the same finite quotients and distinct 2\ell^2-cohomology. Groups Geom. Dyn. 14 (2020), no. 3, pp. 857–869

DOI 10.4171/GGD/566