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arxiv: 0907.1201 · v1 · submitted 2009-07-07 · 🧮 math.DS · cs.IT· math.IT

Generating Product Systems

classification 🧮 math.DS cs.ITmath.IT
keywords requiredconditionsergodicfinitefixedgeneralizinggeneratedgenerating
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Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given sub-algebra, and also required to have a fixed size.

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