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On one class of topological *-algebras with standard identities

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Ukrainian Mathematical Journal Aims and scope

Abstract

Let A be a unital semisimple topological nuclear *-algebra over C and let Z be its center. The algebra A is topologically isomorphic to M n (Z) if and only if A satisfies the standard identity and the maximality condition.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv

    S. V. Tyshchenko

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  1. S. V. Tyshchenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 1, pp. 140–143, January, 2007.

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Tyshchenko, S.V. On one class of topological *-algebras with standard identities. Ukr Math J 59, 147–151 (2007). https://doi.org/10.1007/s11253-007-0011-6

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  • DOI: https://doi.org/10.1007/s11253-007-0011-6

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