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$C^{*}$-algebras
isomorphically representable on $l^{p}$
March T. Boedihardjo |
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Vol. 13 (2020), No. 7, 2173–2181
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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. |
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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Authors |
| March T. Boedihardjo | |
| Department of Mathematics University of California Los Angeles, CA United States |
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