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A rank-one, rigid, simple, prime map. (English) Zbl 0634.54020
The authors construct a new, simple, prime map \(T\), of the symbol space of two symbols. The map is rigid and the measure preserving maps commuting with \(T\), \(C(t)\), are uncountable. Since \(T\) is simple, any factor of \(T\) is the algebra of invariant sets of some weakly compact subgroup of \(C(T)\). The authors show that \(C(T)\) has no such subgroups and so \(T\) is prime.
Reviewer: W.R.Utz

MSC:
54H20 Topological dynamics (MSC2010)
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