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12 - Higher Index Theory for Coarsely Embeddable Spaces

from Part Four - Higher Index Theory 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

Two types of counterexample to the coarse Baum-Connes conjecture: injectivity counterexamples coming from Dirac operators and positive scalar curvtaure on large spheres; and surjectivity counterexamples coming from spectral gap phenomena associated to expander graphs.Some general discussion of expander graphs, including constructions from property tau.

Keywords

Expanderproperty tauproperty T
Type
Chapter
Information
Higher Index Theory , pp. 429 - 483
Publisher: Cambridge University Press
Print publication year: 2020

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