Journal article
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 that do not coarsely embed into any Banach space with nontrivial type. Moreover, we prove that these expanders are not coarsely equivalent to a Lafforgue expander. In particular, we provide infinitely many coarsely distinct superexpanders that are not Lafforgue expanders. In addition, we prove a quasi-isometric rigidity result for warped cones
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 519.5KB, Terms of use)
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- Publisher copy:
- 10.1007/s10711-018-0371-0
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Vigolo, F
- Grant:
- 1502483
- EP/K032208/1
+ Deutsche Forschungsgemeinschaft
More from this funder
- Funding agency for:
- De Laat, T
- Grant:
- SFB 878
- Publisher:
- Springer Verlag
- Journal:
- Geometriae Dedicata More from this journal
- Volume:
- 200
- Issue:
- 1
- Pages:
- 287-302
- Publication date:
- 2018-06-06
- Acceptance date:
- 2018-06-27
- DOI:
- EISSN:
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1572-9168
- ISSN:
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0046-5755
- Keywords:
- Pubs id:
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pubs:893311
- UUID:
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uuid:06674108-6a83-43c1-9fc0-5ce18136ee51
- Local pid:
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pubs:893311
- Source identifiers:
-
893311
- Deposit date:
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2018-10-03
Terms of use
- Copyright holder:
- De Laat and Vigolo
- Copyright date:
- 2018
- Notes:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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