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A Simple $C^\ast$-Algebra with no Nontrivial Projections

Bruce E. Blackadar
Proceedings of the American Mathematical Society
Vol. 78, No. 4 (Apr., 1980), pp. 504-508
DOI: 10.2307/2042420
Stable URL: http://www.jstor.org/stable/2042420
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Simple $C^\ast$-Algebra with no Nontrivial Projections
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Abstract

A $C^\ast$-algebra is constructed which is separable, simple, nuclear, nonunital, and contains no nonzero projections. Some results on automorphisms of AF algebras are also obtained.

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