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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Approximate topology on $\textrm {Rep}(A)$
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by Sa Ge Lee PDF
Proc. Amer. Math. Soc. 86 (1982), 461-463 Request permission

Abstract:

Let $A$ be a ${C^*}$-algebra and Rep$(A)$ the set of all nondegenerate representations of $A$. We define a new topology on Rep$(A)$ and study the relations with the point weak topology of Rep$(A)$.
References
  • William Arveson, Notes on extensions of $C^{^*}$-algebras, Duke Math. J. 44 (1977), no. 2, 329–355. MR 438137
  • N. Bourbaki, General topology, Part 1, Hermann, Paris, 1966 (English transl., Addison-Wesley, Reading, Mass., 1966).
  • Jacques Dixmier, $C^*$-algebras, North-Holland Mathematical Library, Vol. 15, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Translated from the French by Francis Jellett. MR 0458185
  • James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
  • L. Terrell Gardner, On the “third definition” of the topology on the spectrum of a $C^{\ast }$-algebra, Canadian J. Math. 23 (1971), 445–450. MR 281011, DOI 10.4153/CJM-1971-047-1
  • D. W. Hadwin, Approximate equivalence and completely positive maps (preprint).
  • Donald W. Hadwin, An operator-valued spectrum, Indiana Univ. Math. J. 26 (1977), no. 2, 329–340. MR 428089, DOI 10.1512/iumj.1977.26.26025
  • Warren Page, Topological uniform structures, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 515583
  • Zirô Takeda, Conjugate spaces of operator algebras, Proc. Japan Acad. 30 (1954), 90–95. MR 63578
  • Masamichi Takesaki, A duality in the representation theory of $C^{\ast }$-algebras, Ann. of Math. (2) 85 (1967), 370–382. MR 209859, DOI 10.2307/1970350
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 461-463
  • MSC: Primary 46L05; Secondary 46K10
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0671216-3
  • MathSciNet review: 671216