Author:
Hee Lee Hun,Youn Sang-gyun
Abstract
Abstract
In this paper we introduce a new way of deforming convolution algebras and
Fourier algebras on locally compact groups. We demonstrate that this new
deformation allows us to reveal some information about the underlying groups by
examining Banach algebra properties of deformed algebras. More precisely, we focus
on representability as an operator algebra of deformed convolution algebras on
compact connected Lie groups with connection to the real dimension of the
underlying group. Similarly, we investigate complete representability as an
operator algebra of deformed Fourier algebras on some ûnitely generated discrete
groups with connection to the growth rate of the group.
Publisher
Canadian Mathematical Society
Cited by
2 articles.
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