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 $KK(A, A) \rightarrow \bigoplus _{i=0}^{1} \operatorname {Hom}(K_i(A), K_i(A))$.References
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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