The coarse Novikov conjecture and Banach spaces with Property (H)

Qin Wang

10:45 am to 11:35 am, June 5th, 2015   Science Building A1414




Abstract:

The coarse Novikov conjecture is a geometric analogue of the strong Novikov conjecture and provides an algorithm for determining nonvanishing of the higher indices of generalized elliptic di erential operators on noncompact complete Riemannian manifolds. We show that the coarse Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into Banach spaces with a geometric condition, called Property (H), introduced by G. Kasparov and G.Yu.

This is joint wort with Xiaoman Chen and Guoliang Yu.

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