Coarse topology, enlargeability and essentialness

Bernhard Hanke; Dieter Kotschick; John Roe; Thomas Schick

doi:10.24033/asens.2073

Coarse topology, enlargeability and essentialness

Bernhard Hanke, Dieter Kotschick, John Roe, Thomas Schick

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English (US)
Pages (from-to)	471-493
Number of pages	23
Journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	41
Issue number	3
DOIs	https://doi.org/10.24033/asens.2073
State	Published - 2008

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.24033/asens.2073

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title = "Coarse topology, enlargeability and essentialness",

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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year = "2008",

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T1 - Coarse topology, enlargeability and essentialness

AU - Hanke, Bernhard

AU - Kotschick, Dieter

AU - Roe, John

AU - Schick, Thomas

PY - 2008

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N2 - 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.

AB - 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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U2 - 10.24033/asens.2073

DO - 10.24033/asens.2073

M3 - Article

AN - SCOPUS:58149166471

SN - 0012-9593

VL - 41

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JF - Annales Scientifiques de l'Ecole Normale Superieure

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ER -

Coarse topology, enlargeability and essentialness

Abstract

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