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Superexpanders from group actions on compact manifolds

Abstract:

It is known that the expanders arising as increasing sequences of level sets of warped cones, as introduced by the second-named author, do not coarsely embed into a Banach space as soon as the corresponding warped cone does not coarsely embed into this Banach space. Combining this with non-embeddability results for warped cones by Nowak and Sawicki, which relate the non-embeddability of a warped cone to a spectral gap property of the underlying action, we provide new examples of expanders tha...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10711-018-0371-0

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Balliol College
Role:
Author
ORCID:
0000-0002-9712-8064
More from this funder
Funding agency for:
De Laat, T
Grant:
SFB 878
More from this funder
Funding agency for:
Vigolo, F
Grant:
1502483
Publisher:
Springer Verlag Publisher's website
Journal:
Geometriae Dedicata Journal website
Volume:
200
Issue:
1
Pages:
287-302
Publication date:
2018-06-06
Acceptance date:
2018-06-27
DOI:
EISSN:
1572-9168
ISSN:
0046-5755
Source identifiers:
893311
Keywords:
Pubs id:
pubs:893311
UUID:
uuid:06674108-6a83-43c1-9fc0-5ce18136ee51
Local pid:
pubs:893311
Deposit date:
2018-10-03

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