Topologies on the quasi-spectrum of a $C^{\ast }$-algebra
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- by Wai Mee Ching PDF
- Proc. Amer. Math. Soc. 46 (1974), 273-276 Request permission
Abstract:
We study two topologies, the Gelfand topology and the Jacobson topology, on the quasi-spectrum of a ${C^ \ast }$-algebra. We prove that the Gelfand topology is finer than the Jacobson topology.References
- Jacques Dixmier, Les $C^{\ast }$-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219–255. MR 42066, DOI 10.1090/S0002-9947-1951-0042066-0
- John von Neumann, Continuous geometry, Princeton Mathematical Series, No. 25, Princeton University Press, Princeton, N.J., 1960. Foreword by Israel Halperin. MR 0120174
Additional Information
- © Copyright 1974 American Mathematical Society
- 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