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The Ext class of an approximately inner automorphism

Author(s): Akitaka Kishimoto; Alex Kumjian
Journal: Trans. Amer. Math. Soc. 350 (1998), 4127-4148.
MSC (1991): Primary 46L40; Secondary 46L80, 46L35
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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
Email: kishi@math.sci.hokudai.ac.jp

Alex Kumjian
Affiliation: Department of Mathematics, University of Nevada, Reno, Nevada 89557
Email: alex@unv.edu

DOI: 10.1090/S0002-9947-98-02326-5
PII: S 0002-9947(98)02326-5
Received by editor(s): August 5, 1996
Copyright of article: Copyright 1998, American Mathematical Society

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