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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Corrigendum to “Strongly self-absorbing $\mathrm {C}^*$-dynamical systems”
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by Gábor Szabó PDF
Trans. Amer. Math. Soc. 373 (2020), 7527-7531 Request permission

Abstract:

We correct a mistake that appeared in the first section of the original article, which appeared in Tran. Amer. Math. Soc. 370 (2018), 99–130. Namely, Corollary 1.16 was false as stated and was subsequently used in later proofs in the paper. In this note it is argued that all the relevant statements after Corollary 1.16 can be saved with at most minor modifications. In particular, all the main results of the original paper remain valid as stated, but some intermediate claims are slightly modified or proved more directly without Corollary 1.16.
References
  • Gábor Szabó, Strongly self-absorbing $\rm C^*$-dynamical systems, Trans. Amer. Math. Soc. 370 (2018), no. 1, 99–130. MR 3717976, DOI 10.1090/tran/6931
  • G. Szabó, On a categorical framework for classifying $\mathrm {C}^*$-dynamics up to cocycle conjugacy, arXiv:1907.02388v3, 2019.
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Additional Information
  • Gábor Szabó
  • Affiliation: Department of Mathematics, KU Leuven, Celestijnenlaan 200b box 2400, B-3001 Leuven, Belgium
  • MR Author ID: 1103496
  • ORCID: 0000-0001-7963-8493
  • Email: gabor.szabo@kuleuven.be
  • Received by editor(s): October 30, 2019
  • Received by editor(s) in revised form: January 14, 2020
  • Published electronically: July 9, 2020
  • Additional Notes: This work was supported by a start-up grant of KU Leuven and an internal research grant of KU Leuven.
  • © Copyright 2020 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 373 (2020), 7527-7531
  • MSC (2010): Primary 46L55
  • DOI: https://doi.org/10.1090/tran/8115
  • MathSciNet review: 4155215