The Ext class of an approximately inner automorphism

Kishimoto, Akitaka; Kumjian, Alex

doi:10.1090/S0002-9947-98-02326-5

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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