an:04032597
Zbl 0634.54020
del Junco, A.; Rudolph, D. J.
A rank-one, rigid, simple, prime map
EN
Ergodic Theory Dyn. Syst. 7, 229-247 (1987).
00151765
1987
j
54H20
prime map; symbol space; algebra of invariant sets; weakly compact subgroup
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.
W.R.Utz