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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Minimal primitive ideals of GCR $ C\sp{\ast} $-algebras


Author: Philip Green
Journal: Proc. Amer. Math. Soc. 73 (1979), 209-210
MSC: Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-1979-0516466-1
MathSciNet review: 516466
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Abstract: We show that a minimal primitive ideal of a GCR algebra may contain the maximal CCR ideal of the algebra, thus giving a negative answer to a question of J. Dixmier.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0516466-1
Keywords: Transformation group $ {C^\ast}$-algebra, GCR algebra, primitive ideal
Article copyright: © Copyright 1979 American Mathematical Society