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6 - Localisation Algebras and K-homology

from Part Two - Roe Algebras, Localisation Algebras and Assembly

Published online by Cambridge University Press:  11 June 2020

Rufus Willett  and
Guoliang Yu
Rufus Willett
Affiliation:
University of Hawaii, Manoa
Guoliang Yu
Affiliation:
Texas A & M University
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Summary

Introduction to assembly as a 'forget control' map from K-homology to K-theory of Roe algebras.Introduction of the Baum-Connes and coarse Baum-Connes conjectures as universal assembly maps.Concrete models for the Baum-Connes conjecture for special cases, and proof of the coarse Baum-Connes conjecture for Euclidean space.

Keywords

Rips complexuniformly contractible spacesclassifying spaces
Type
Chapter
Information
Higher Index Theory , pp. 217 - 273
Publisher: Cambridge University Press
Print publication year: 2020

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