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2 results

  • 6 - Equivariant Borel Conjecture

  • Shmuel Weinberger, University of Chicago
  • Book:
    Variations on a Theme of Borel
    Published online:
    24 November 2022
    Print publication:
    08 December 2022, pp 186-257

  • Summary

    The Borel heuristic makes some preictions about group actions, but in this chapter we see that some are reasonably well founded, with some counterexamples at the prime 2, and others are false. Partly this is explained by means of the difference between equivariant and isovariant topology, and also in restricting the class of equivariantly aspherical spaces that are expected to be rigid.

  • Coarse flow spaces for relatively hyperbolic groups

  • Part of
  • A. Bartels
  • Journal:
    Compositio Mathematica / Volume 153 / Issue 4 / April 2017
    Published online by Cambridge University Press:
    09 March 2017, pp. 745-779
    Print publication:
    April 2017
    • Article
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  • We introduce coarse flow spaces for relatively hyperbolic groups and use them to verify a regularity condition for the action of relatively hyperbolic groups on their boundaries. As an application the Farrell–Jones conjecture for relatively hyperbolic groups can be reduced to the peripheral subgroups (up to index-2 overgroups in the $L$-theory case).