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

14 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

General Mathematics

Access to Document

10.24033/asens.2073

Cite this

@article{258a832cd8ef4e6b8aae883b3788bbf7,

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.",

author = "Bernhard Hanke and Dieter Kotschick and John Roe and Thomas Schick",

year = "2008",

doi = "10.24033/asens.2073",

language = "English (US)",

volume = "41",

pages = "471--493",

journal = "Annales Scientifiques de l'Ecole Normale Superieure",

issn = "0012-9593",

publisher = "Societe Mathematique de France",

number = "3",

}

TY - JOUR

T1 - Coarse topology, enlargeability and essentialness

AU - Hanke, Bernhard

AU - Kotschick, Dieter

AU - Roe, John

AU - Schick, Thomas

PY - 2008

Y1 - 2008

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.

UR - https://www.scopus.com/pages/publications/58149166471

UR - https://www.scopus.com/pages/publications/58149166471#tab=citedBy

U2 - 10.24033/asens.2073

DO - 10.24033/asens.2073

M3 - Article

AN - SCOPUS:58149166471

SN - 0012-9593

VL - 41

SP - 471

EP - 493

JO - Annales Scientifiques de l'Ecole Normale Superieure

JF - Annales Scientifiques de l'Ecole Normale Superieure

IS - 3

ER -

Coarse topology, enlargeability and essentialness

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this