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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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Free group representations: Duplicity and oddity on the boundary
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by Waldemar Hebisch, Gabriella Kuhn and Tim Steger PDF
Trans. Amer. Math. Soc. 375 (2022), 1825-1860 Request permission

Abstract:

We present a powerful theorem for proving the irreducibility of tempered unitary representations of the free group.
References
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Additional Information
  • Waldemar Hebisch
  • Affiliation: Mathematical Institute, University of Wrocław, 50-384 Wrocław, pl. Grunwaldzki 2/4, Poland
  • MR Author ID: 263309
  • ORCID: 0000-0002-0930-4460
  • Email: hebisch@mail.math.uni.wroc.pl
  • Gabriella Kuhn
  • Affiliation: Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, via Cozzi 53, 20125 Milano, Italy
  • MR Author ID: 210437
  • Email: mariagabriella.kuhn@unimib.it
  • Tim Steger
  • Affiliation: Matematica, Università degli Studi di Sassari, Via Piandanna 4, 07100 Sassari, Italy
  • MR Author ID: 248120
  • Email: steger@uniss.it
  • Received by editor(s): October 12, 2020
  • Received by editor(s) in revised form: July 31, 2021
  • Published electronically: December 3, 2021
  • © Copyright 2021 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 375 (2022), 1825-1860
  • MSC (2020): Primary 22D10, 43A65; Secondary 22E45, 22E40
  • DOI: https://doi.org/10.1090/tran/8546
  • MathSciNet review: 4378081