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AF flows and continuous symmetries

Ola Bratteli·Akitaka Kishimoto
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Abstract

We consider AF-flows, i.e., one-parameter automorphism groups of a unital simple C*-algebra which leave invariant the dense union of an increasing sequence of finite-dimensional *-subalgebras, and derive two properties for these; an absence of continuous symmetry breaking and a kind of real rank zero property for the almost fixed points.

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Ola Bratteli, Akitaka Kishimoto. 2000-08-23. AF flows and continuous symmetries. https://doi.org/10.1142/s0129055x01001046

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