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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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Semigroup $C^*$-algebras of $ax+b$-semigroups
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by Xin Li PDF
Trans. Amer. Math. Soc. 368 (2016), 4417-4437 Request permission

Abstract:

We study semigroup $C^*$-algebras of $ax+b$-semigroups over integral domains. The goal is to generalize several results about $C^*$-algebras of $ax+b$-semigroups over rings of algebraic integers. We prove results concerning K-theory and structural properties like the ideal structure or pure infiniteness. Our methods allow us to treat $ax+b$-semigroups over a large class of integral domains containing all noetherian, integrally closed domains and coordinate rings of affine varieties over infinite fields.
References
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Additional Information
  • Xin Li
  • Affiliation: School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
  • MR Author ID: 911893
  • ORCID: 0000-0002-2243-3742
  • Email: xin.li@qmul.ac.uk
  • Received by editor(s): December 2, 2013
  • Received by editor(s) in revised form: April 29, 2014
  • Published electronically: September 15, 2015
  • Additional Notes: This research was supported by the ERC through AdG 267079
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 4417-4437
  • MSC (2010): Primary 46L05; Secondary 11R04, 13F05
  • DOI: https://doi.org/10.1090/tran/6469
  • MathSciNet review: 3453375