Exactness and the Novikov Conjecture

Details Exactness and the Novikov Conjecture Exactness and the Novikov Conjecture

2000-01-13

arxiv.org/abs/math/0001074v1

Mathematics

Operator Algebras

This is a Latex2e file with 12 pages

Scientific paper

We study the connection between the condition that the reduced C*-algebra of
a finitely presented group is exact and the Novikov conjecture holding. The
main result states that if the group is strongly exact in the sense that the
inclusion of the group C*-algebra into the uniform Roe algebra of the group is
a nuclear embedding then the Novikov conjecture holds for that group.

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