EMBEDDING NILPOTENT FINITE-DIMENSIONAL BANACH-ALGEBRAS INTO AMENABLE BANACH-ALGEBRAS

Authors
GRONBAEK N WILLIS GA
Citation
N. Gronbaek et Ga. Willis, EMBEDDING NILPOTENT FINITE-DIMENSIONAL BANACH-ALGEBRAS INTO AMENABLE BANACH-ALGEBRAS, Journal of functional analysis, 145(1), 1997, pp. 99-107
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
145
Issue
1
Year of publication
1997
Pages
99 - 107
Database
ISI
SICI code
0022-1236(1997)145:1<99:ENFBIA>2.0.ZU;2-V
Abstract
We prove that any finite dimensional nilpotent commutative Banach alge bra can be embedded isometrically into a commutative amenable Banach a lgebra, whose approximate diagonal is bounded by one. This amenable al gebra is constructed by means of a quotient of a Fourier algebra by a closed ideal, whose hull is a set of non-synthesis. (C) 1997 Academic Press.