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Exactness and the Novikov Conjecture

算子代数 2007-05-23 v1 代数拓扑

摘要

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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引用

@article{arxiv.math/0001074,
  title  = {Exactness and the Novikov Conjecture},
  author = {Erik Guentner and Jerome Kaminker},
  journal= {arXiv preprint arXiv:math/0001074},
  year   = {2007}
}

备注

This is a Latex2e file with 12 pages