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The asymptotic dimension of quotients by finite groups


Author: Daniel Kasprowski
Journal: Proc. Amer. Math. Soc. 145 (2017), 2383-2389
MSC (2010): Primary 20F69, 54F45, 55M10
DOI: https://doi.org/10.1090/proc/13491
Published electronically: December 15, 2016
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Abstract: Let $ X$ be a proper metric space and let $ F$ be a finite group acting on $ X$ by isometries. We show that the asymptotic dimension of $ F\backslash X$ is the same as the asymptotic dimension of $ X$.


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Additional Information

Daniel Kasprowski
Affiliation: Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Email: kasprowski@mpim-bonn.mpg.de

DOI: https://doi.org/10.1090/proc/13491
Keywords: Asymptotic dimension, quotients by finite groups
Received by editor(s): May 31, 2016
Received by editor(s) in revised form: August 1, 2016
Published electronically: December 15, 2016
Communicated by: Ken Bromberg
Article copyright: © Copyright 2016 American Mathematical Society