Topologies on the quasi-spectrum of a 
-algebra
Author:
Wai Mee Ching
Journal:
Proc. Amer. Math. Soc. 46 (1974), 273-276
MSC:
Primary 46L05
DOI:
https://doi.org/10.1090/S0002-9939-1974-0367668-4
MathSciNet review:
0367668
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Abstract | References | Similar Articles | Additional Information
Abstract: We study two topologies, the Gelfand topology and the Jacobson topology, on the quasi-spectrum of a 
-algebra. We prove that the Gelfand topology is finer than the Jacobson topology.
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- [2] Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219–255. MR 42066, https://doi.org/10.1090/S0002-9947-1951-0042066-0
- [3] John von Neumann, Continuous geometry, Foreword by Israel Halperin. Princeton Mathematical Series, No. 25, Princeton University Press, Princeton, N.J., 1960. MR 0120174
-algèbres et leurs représentations, Cahiers Scientifiques, fasc. 24, Gauthier-Villars, Paris, 1964. MR 30 #1404. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46L05
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0367668-4
Keywords:
Quasi-spectrum,
-algebra,
algebraic spectrum,
Jacobson topology,
Gelfand topology
Article copyright:
© Copyright 1974
American Mathematical Society
