Double commutants of hereditary subalgebras of a corona
Autor: | D. Kucerovsky |
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Rok vydání: | 2005 |
Předmět: |
Pure mathematics
Unital 010102 general mathematics Subalgebra Polar decomposition Mathematics::Rings and Algebras Corona algebras 01 natural sciences Corona Centralizer and normalizer C*-algebras 0103 physical sciences Astrophysics::Solar and Stellar Astrophysics 010307 mathematical physics 0101 mathematics Algebra over a field Mathematics::Representation Theory Analysis Commutants Mathematics |
Zdroj: | Journal of Functional Analysis. 219(2):245-254 |
ISSN: | 0022-1236 |
DOI: | 10.1016/j.jfa.2004.08.009 |
Popis: | We show that in certain corona algebras, σ -unital hereditary subalgebras have the property that their double relative commutant in the corona algebra is equal to the unitization of the given hereditary subalgebra. We also give several results on polar decomposition in such algebras. |
Databáze: | OpenAIRE |
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