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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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Stable rank of the disc algebra
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by P. W. Jones, D. Marshall and T. Wolff PDF
Proc. Amer. Math. Soc. 96 (1986), 603-604 Request permission

Abstract:

We prove that the Bass stable rank of the disc algebra is one.
References
  • Lennart Carleson, The corona theorem, Proceedings of the Fifteenth Scandinavian Congress (Oslo, 1968) Lecture Notes in Mathematics, Vol. 118, Springer, Berlin, 1970, pp. 121–132. MR 0264100
  • Marc A. Rieffel, Dimension and stable rank in the $K$-theory of $C^{\ast }$-algebras, Proc. London Math. Soc. (3) 46 (1983), no. 2, 301–333. MR 693043, DOI 10.1112/plms/s3-46.2.301
  • Walter Rudin, Real and complex analysis, 2nd ed., McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1974. MR 0344043
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 603-604
  • MSC: Primary 46J15; Secondary 30H05, 46J20
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0826488-2
  • MathSciNet review: 826488