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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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The Ext class of an approximately inner automorphism
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by Akitaka Kishimoto and Alex Kumjian PDF
Trans. Amer. Math. Soc. 350 (1998), 4127-4148 Request permission

Abstract:

Let $A$ be a simple unital $A\mathbf {T}$ algebra of real rank zero. It is shown below that the range of the natural map from the approximately inner automorphism group to $KK(A, A)$ coincides with the kernel of the map $KK(A, A) \rightarrow \bigoplus _{i=0}^{1} \operatorname {Hom}(K_i(A), K_i(A))$.
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Additional Information
  • Akitaka Kishimoto
  • Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060 Japan
  • MR Author ID: 102095
  • Email: kishi@math.sci.hokudai.ac.jp
  • Alex Kumjian
  • Affiliation: Department of Mathematics, University of Nevada, Reno, Nevada 89557
  • Email: alex@unv.edu
  • Received by editor(s): August 5, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 4127-4148
  • MSC (1991): Primary 46L40; Secondary 46L80, 46L35
  • DOI: https://doi.org/10.1090/S0002-9947-98-02326-5
  • MathSciNet review: 1608321