Minimal homeomorphisms and approximate conjugacy in measure
Lin, Huaxin
Illinois J. Math., Tome 51 (2007) no. 3, p. 1159-1188 / Harvested from Project Euclid
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Let $X$ be an infinite compact metric space with finite covering dimension. Let $\af,\bt: X\to X$ be two minimal homeomorphisms. Suppose that the range of $K_0$-groups of both crossed products are dense in the space of real affine continuous functions on the tracial state space. We show that $\af$ and $\bt$ are approximately conjugate uniformly in measure if and only if they have affine homeomorphic invariant probability measure spaces.
Publié le : 2007-10-15
Classification:  46L35,  37Axx,  37B05 
@article{1258138537,
     author = {Lin, Huaxin},
     title = {Minimal homeomorphisms and approximate conjugacy in measure},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 1159-1188},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138537}
}

Lin, Huaxin. Minimal homeomorphisms and approximate conjugacy in measure. Illinois J. Math., Tome 51 (2007) no. 3, pp.  1159-1188. http://gdmltest.u-ga.fr/item/1258138537/