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Semisimplicity of reflexive amenable operator algebras |
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| Authors: | Rachid El Harti Paulo R Pinto |
| Institution: | 1. Department of Mathematics, College of Applied Sciences, Umm Al-Qura University, P.O Box (715), Makkah, Saudi Arabia 2. Department of Mathematics, CAMGSD, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal |
| Abstract: | We prove that amenable and reflexive operator algebras are semisimple and are finite direct sums of simple Banach algebras of operators. |
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