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arXiv · 2004.02716

Local trivializations of suspended minimal Cantor systems and the stable orbit-breaking subalgebra

Jacopo Bassi
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Abstract

It is introduced an analogue of the orbit-breaking subalgebra for the case of free flows on locally compact metric spaces, which has a natural approximate structure in terms of a fixed point and any nested sequence of central slices around this point. It is shown that in the case of minimal flows admitting a compact Cantor central slice, the resulting $C^*$-algebra is the stabilization of the Putnam orbit-breaking subalgebra associated to the induced homeomorphism on the central slice.

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Jacopo Bassi. 2020-04-06. Local trivializations of suspended minimal Cantor systems and the stable orbit-breaking subalgebra. https://arxiv.org/abs/2004.02716

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