Nilpotent extensions of minimal homeomorphisms
نویسندگان
چکیده
منابع مشابه
Full Groups of Minimal Homeomorphisms
We study full groups ofminimal actions of countable groups by homeomorphisms on a Cantor space X, showing that these groups do not admit a compatible Polish group topology and, in the case of Z-actions, are coanalytic non-Borel inside Homeo(X). We then focus on the closure of the full group of a uniquely ergodic homeomorphism, elucidating underwhich conditions this group has a comeager (or, equ...
متن کاملCrossed Products by Minimal Homeomorphisms
Let X be an infinite compact metric space with finite covering dimension and let h : X → X be a minimal homeomorphism. We show that the associated crossed product C*-algebra A = C∗(Z, X, h) has tracial rank zero whenever the image of K0(A) in Aff(T (A)) is dense. As a consequence, we show that these crossed product C*-algebras are in fact simple AH algebras with real rank zero. When X is connec...
متن کاملGroups of homeomorphisms of one-manifolds, III: Nilpotent subgroups
This self-contained paper is part of a series [FF1, FF2] seeking to understand groups of homeomorphisms of manifolds in analogy with the theory of Lie groups and their discrete subgroups. Plante-Thurston proved that every nilpotent subgroup of Diff(S) is abelian. One of our main results is a sharp converse: Diff(S) contains every finitely-generated, torsion-free nilpotent group.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2005
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385705000076