To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Fourier algebras of hyper… - University of Gothenburg, Sweden Till startsida
Sitemap
To content Read more about how we use cookies on gu.se

Fourier algebras of hypergroups and central algebras on compact (quantum) groups

Journal article
Authors Mahmood Alaghmandan
Jason Crann
Published in Studia Mathematica
Volume 239
Issue 3
Pages 225-247
ISSN 0039-3223
Publication year 2017
Published at Department of Mathematical Sciences, Analysis and Probability Theory
Pages 225-247
Language en
Links dx.doi.org/10.4064/sm8643-3-2017
Subject categories Mathematical Analysis

Abstract

© Instytut Matematyczny PAN, 2017. This paper concerns the study of regular Fourier hyper groups through multipliers of their associated Fourier algebras. We establish hypergroup analogues of well-known characterizations of group amenability, introduce a notion of weak amenability for hypergroups, and show that every discrete commutative hypergroup is weakly amenable with constant 1. Using similar techniques, we provide a sufficient condition for amenability of hypergroup Fourier algebras, which, as an immediate application, answers one direction of a conjecture of Azimifard-Samei-Spronk (2009) on the amenability of ZL 1 (G) for compact groups G. In the final section we consider Fourier algebras of hypergroups arising from compact quantum groups G, and in particular establish a completely isometric isomorphism with the center of the quantum group algebra for compact G of Kac type.

Page Manager: Webmaster|Last update: 9/11/2012
Share:

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?