Warped cones and spectral gaps
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- by Piotr W. Nowak and Damian Sawicki PDF
- Proc. Amer. Math. Soc. 145 (2017), 817-823 Request permission
Abstract:
We show that warped cones over actions with spectral gaps do not embed coarsely into large classes of Banach spaces. In particular, there exist warped cones over actions of the free group that do not embed coarsely into $L_p$-spaces, and there are warped cones over discrete group actions that do not embed into any Banach space with non-trivial type.References
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Additional Information
- Piotr W. Nowak
- Affiliation: Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland – and – Institute of Mathematics, University of Warsaw, Poland
- Damian Sawicki
- Affiliation: Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland
- Received by editor(s): November 15, 2015
- Received by editor(s) in revised form: March 27, 2016, and April 22, 2016
- Published electronically: August 23, 2016
- Additional Notes: Both authors were partially supported by Narodowe Centrum Nauki grant DEC-2013/10/EST1/00352. The second author was partially supported by Fundacja na rzecz Nauki Polskiej grant MISTRZ 5/2012 of Prof. Tadeusz Januszkiewicz
- Communicated by: Adrian Ioana
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 817-823
- MSC (2010): Primary 46B85; Secondary 37C85, 37A30
- DOI: https://doi.org/10.1090/proc/13258
- MathSciNet review: 3577880