Real AW*-Algebras of type I |
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| Authors: | Sh. A. Ayupov |
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| Affiliation: | (1) Institute of Mathematics, Uzbekistan Academy of Science, Uzbekistan |
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| Abstract: | Let R be a real AW*-algebra, and suppose that its complexification M = R + iR is also a (complex) AW*-algebra. We prove that R is of type I if and only if so is M.Translated from Funktsional nyi Analiz i Ego Prilozheniya, Vol. 38, No. 4, pp. 79–81, 2004Original Russian Text Copyright © by Sh. A. Ayupov |
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| Keywords: | real C*-algebra real W*-algebra real AW*-algebra complexification type I algebra |
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