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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)