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arxiv: math/0001074 · v1 · submitted 2000-01-13 · 🧮 math.OA · math.AT

Exactness and the Novikov Conjecture

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keywords groupalgebraconjecturenovikovexactconditionconnectionembedding
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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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