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Semisimplicity of reflexive amenable operator algebras

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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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Authors and Affiliations

  1. Department of Mathematics, College of Applied Sciences, Umm Al-Qura University, P.O Box (715), Makkah, Saudi Arabia

    Rachid El Harti

  2. Department of Mathematics, CAMGSD, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal

    Paulo R. Pinto

Authors
  1. Rachid El Harti
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  2. Paulo R. Pinto
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Corresponding author

Correspondence to Paulo R. Pinto.

Additional information

The second author was partially supported by the Fundação para a Ciência e a Tecnologia through the Program POCI 2010/FEDER.

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Harti, R.E., Pinto, P.R. Semisimplicity of reflexive amenable operator algebras. Arch. Math. 101, 129–133 (2013). https://doi.org/10.1007/s00013-013-0546-8

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  • DOI: https://doi.org/10.1007/s00013-013-0546-8

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