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The A-T-menability of some graphs of groups with cyclic edge groups

Published online by Cambridge University Press:  19 September 2016

MATHIEU CARETTE ,
DANIEL T. WISE  and
DANIEL J. WOODHOUSE
MATHIEU CARETTE
Affiliation:
Dept. of Math. & Stats. McGill University Montreal, QC, CanadaH3A 0B9. e-mails: [email protected]; [email protected]; [email protected]
DANIEL T. WISE
Affiliation:
Dept. of Math. & Stats. McGill University Montreal, QC, CanadaH3A 0B9. e-mails: [email protected]; [email protected]; [email protected]
DANIEL J. WOODHOUSE
Affiliation:
Dept. of Math. & Stats. McGill University Montreal, QC, CanadaH3A 0B9. e-mails: [email protected]; [email protected]; [email protected]
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Abstract

We show that certain graphs of groups with cyclic edge groups are aTmenable. In particular, this holds when each vertex group is either virtually special or acts properly and semisimply on ℍn.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 163 , Issue 1 , July 2017 , pp. 145 - 159
Copyright
Copyright © Cambridge Philosophical Society 2016 

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