Homological and dynamical study on certain groups of Lipschitz homeomorphisms of the circle
Homological and dynamical study on certain groups of Lipschitz homeomorphisms of the circle
In this paper, we study dynamical properties and homological properties of $G^{1+\alpha}(R/Z)$ and $G^{L^{C}\mathcal{V}}\beta(R/Z)$ .AS a dynamical property, it is interesting to know whether there exist the Denjoy-Pixton actions ([1], [13]).A Denjoy action is an action $\Phi$ of $Z^{k}(k\geqq 1)$ on the circle without fixed points but with a wandering …