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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Tate cohomology of periodic $K$-theory with reality is trivial
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by Lisbeth Fajstrup
Trans. Amer. Math. Soc. 347 (1995), 1841-1846
DOI: https://doi.org/10.1090/S0002-9947-1995-1273490-5

Abstract:

We calculate the $RO(\mathbb {Z}/2)$-graded spectrum for Atiyah’s periodic $K$-theory with reality and the Tate cohomology associated to it. The latter is shown to be trivial.
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 1841-1846
  • MSC: Primary 55P91; Secondary 19L47, 55N15, 55N91, 55P42
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1273490-5
  • MathSciNet review: 1273490