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8 - Epilogue: A Survey of Some Techniques

Published online by Cambridge University Press:  24 November 2022

Shmuel Weinberger
Shmuel Weinberger
Affiliation:
University of Chicago
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Summary

The book closes with a brief survey of some of the techniques that have been used to prove the Farrell–Jones conjecture and the Baum–Connes conjecture. We lightly touch on the role of expanders as an obstruction to some of the proof techniques, and the utility of amenability, and its variant, coarse embedding in Hilbert space, as a tool for proving such conjectures.

Keywords

foliated controlaperiodic tilingstrong property (T)KK-theoryasymptotic transfergeodesic flowproperty Acoarse embeddinglinear group
Type
Chapter
Information
Variations on a Theme of Borel
An Essay on the Role of the Fundamental Group in Rigidity
 , pp. 291 - 310
Publisher: Cambridge University Press
Print publication year: 2022

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