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L2-Betti Numbers and their Analogues in Positive Characteristic

Published online by Cambridge University Press:  15 April 2019

By
Andrei Jaikin-Zapirain
Edited by
C. M. Campbell ,
C. W. Parker ,
M. R. Quick ,
E. F. Robertson  and
C. M. Roney-Dougal
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
C. W. Parker
Affiliation:
University of Birmingham
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
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Summary

In this article, we give a survey of results on L2-Betti numbers and their analogues in positive characteristic. The main emphasis is made on the Lück approximation conjecture and the strong Atiyah conjecture.

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Chapter
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Groups St Andrews 2017 in Birmingham , pp. 346 - 405
Publisher: Cambridge University Press
Print publication year: 2019

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