Approximately inner derivations

Ola Bratteli; Akitaka Kishimoto; Derek W. Robinson

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Approximately inner derivations

Ola Bratteli·Akitaka Kishimoto·Derek W. Robinson

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Abstract

Let $α$ be an approximately inner flow on a $C^*$ algebra $A$ with generator $δ$ and let $δ_n$ denote the bounded generators of the approximating flows $α^{(n)}$. We analyze the structure of the set \cd=\{x\in D(δ): \lim_{n\to\infty}δ_n(x)=δ(x)\} of pointwise convergence of the generators. In particular we examine the relationship of $\cd$ and various cores related to spectral subspaces.

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Ola Bratteli, Akitaka Kishimoto, Derek W. Robinson. 2007-03-01. Approximately inner derivations. https://arxiv.org/abs/math/0703013

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