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This article is available for purchase or by subscription. See below.
Abstract
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Let
. We show that every
homomorphism from a
-algebra
into
satisfies a compactness
property where
is any set. As a consequence, we show that a
-algebra
is isomorphic to
a subalgebra of
,
for some set
,
if and only if
is residually finite-dimensional.
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Keywords
$l^p$ space, $C^*$-algebra
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Mathematical Subject Classification 2010
Primary: 46H20
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Milestones
Received: 29 December 2018
Revised: 19 June 2019
Accepted: 6 September 2019
Published: 10 November 2020
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