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Proceedings of the American Mathematical Society

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

 

 

Ideal preserving automorphisms of postliminary $ C\sp \ast$-algebras


Author: George A. Elliott
Journal: Proc. Amer. Math. Soc. 27 (1971), 107-109
MSC: Primary 46.65
DOI: https://doi.org/10.1090/S0002-9939-1971-0268686-4
MathSciNet review: 0268686
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Abstract: E. C. Lance has shown that an automorphism of a separable postliminary $ {C^ \ast }$-algebra which preserves closed two-sided ideals is universally weakly inner. This note extends Lance's result to the nonseparable case.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0268686-4
Keywords: Postliminary $ {C^ \ast }$-algebra, ideal preserving automorphism, universally weakly inner automorphism, continuous field of Hilbert spaces, associated continuous field of elementary $ {C^ \ast }$-algebras
Article copyright: © Copyright 1971 American Mathematical Society