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arXiv · 0707.1999

Coarse topology, enlargeability, and essentialness

B. Hanke·D. Kotschick·J. Roe·T. Schick
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Abstract

Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-trivially both to the rational homology of their fundamental groups and to the K-theory of the corresponding reduced C*-algebras. Our proofs do not depend on the Baum--Connes conjecture and provide independent confirmation for specific predictions derived from this conjecture.

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BibTeXRIS

B. Hanke, D. Kotschick, J. Roe, T. Schick. 2007-07-13. Coarse topology, enlargeability, and essentialness. https://doi.org/10.24033/asens.2073

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