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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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$K$-theory of $\mathrm {SG}$-pseudo-differential algebras
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by Fabio Nicola PDF
Proc. Amer. Math. Soc. 131 (2003), 2841-2848 Request permission

Abstract:

We are concerned with the so-called $\textrm {SG}$-pseudo-differential calculus. We describe the spectrum of the unital and commutative $C^\ast$-algebra given by the norm closure of the space of $0$-order pseudo-differential operators modulo compact operators; other related algebras are also considered. Finally, their $K$-theory is computed.
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Additional Information
  • Fabio Nicola
  • Affiliation: Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy
  • Email: nicola@dm.unito.it
  • Received by editor(s): January 23, 2002
  • Received by editor(s) in revised form: April 7, 2002
  • Published electronically: January 8, 2003
  • Communicated by: Jozef Dodziuk
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2841-2848
  • MSC (2000): Primary 46L80; Secondary 58J40, 19K56
  • DOI: https://doi.org/10.1090/S0002-9939-03-06837-0
  • MathSciNet review: 1974341