Exactness and the Novikov Conjecture
by
Jerry Kaminker
Indiana University-Purdue University at Indianapolis
Coauthors: Erik Guentner

Recently work of Guoliang Yu and also work of Nigel Higson and John Roe has shown that a finitely presented group which acts amenably on a compact space satisfies the Novikov Conjecture. This condition also implies that the group is exact. The way that the condition yields the Novikov conjecture is through showing that it is uniformly embeddable in a Hilbert space. We will describe some of the background and then show that if a group is uniformly embeddable in a Hilbert space and satisfies a certain growth condition then it has the completely bounded approximation property and hence is exact.

Date received: May 17, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacw-75.