The centre of the second conjugate algebra of the Fourier algebra for infinite products of groups

Autor:	Viktor Losert, Anthony To-Ming Lau
Rok vydání:	2005
Předmět:	Algebra Filtered algebra Symmetric algebra Fourier algebra General Mathematics Center (category theory) Mathematics::General Topology Second-countable space Zonal spherical function Group algebra Group ring Mathematics
Zdroj:	Mathematical Proceedings of the Cambridge Philosophical Society. 138:27-39
ISSN:	1469-8064 0305-0041
DOI:	10.1017/s0305004104008072
Popis:	In this paper, we shall prove that if $G$ is a countably infinite product of second countable amenable locally compact groups $G_i,i\,{=}\,0,1,2,\dots$ and each $G_i$ is a non-trivial compact group for $i>0,$ then the center of the second conjugate algebra of the Fourier algebra $A(G)$ of $G$ is precisely $A(G)$ .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c9f1ea64af192cc05bf4b2aad415ebd https://doi.org/10.1017/s0305004104008072 Zobrazit plný text záznamu