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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Subalgebras of finite codimension in semiprojective $C^*$-algebras
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by Dominic Enders PDF
Proc. Amer. Math. Soc. 145 (2017), 4795-4805 Request permission

Abstract:

We show that semiprojectivity of a $C^*$-algebra is preserved when passing to $C^*$-subalgebras of finite codimension. In particular, any pullback of two semiprojective $C^*$-algebras over a finite-dimensional $C^*$-algebra is again semiprojective.
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Additional Information
  • Dominic Enders
  • Affiliation: Westfälische Wilhelms-Universität, Fachbereich Mathematik, Einsteinstrasse 62, 48149 Münster, Germany
  • MR Author ID: 1101375
  • Email: d.enders@uni-muenster.de
  • Received by editor(s): July 20, 2016
  • Received by editor(s) in revised form: December 5, 2016
  • Published electronically: May 26, 2017
  • Additional Notes: This work was supported by the SFB 878 Groups, Geometry and Actions and the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92)
  • Communicated by: Adrian Ioana
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4795-4805
  • MSC (2010): Primary 46L05
  • DOI: https://doi.org/10.1090/proc/13620
  • MathSciNet review: 3691996