Geometrization of the Strong Novikov Conjecture for residually finite groups

نویسندگان

  • Guihua Gong
  • Qin Wang
  • Guoliang Yu
چکیده

In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.

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تاریخ انتشار 2006