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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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Topological Hochschild homology of number rings
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by Ayelet Lindenstrauss and Ib Madsen PDF
Trans. Amer. Math. Soc. 352 (2000), 2179-2204 Request permission

Abstract:

We calculate an explicit formula for the topological Hochschild homology of a discrete valuation ring of characteristic zero with finite residue field. From this we deduce the topological Hochschild homology of global number rings.
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Additional Information
  • Ayelet Lindenstrauss
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
  • MR Author ID: 330151
  • Email: ayelet@math.indiana.edu
  • Ib Madsen
  • Affiliation: Department of Mathematics, Aarhus University, DK-8000 Aarhus, Denmark
  • Email: imadsen@imf.au.dk
  • Received by editor(s): December 18, 1997
  • Published electronically: February 16, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 2179-2204
  • MSC (2000): Primary 19D55; Secondary 13D03, 19D50, 55Q52
  • DOI: https://doi.org/10.1090/S0002-9947-00-02611-8
  • MathSciNet review: 1707702