On the topological entropy of free semigroup actions
نویسندگان
چکیده
منابع مشابه
On the topological centers of module actions
In this paper, we study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.
متن کاملAffine Actions of a Free Semigroup on the Real Line
We consider actions of the free semigroup with two generators on the real line, where the generators act as affine maps, one contracting and one expanding, with distinct fixed points. Then every orbit is dense in a half-line, which leads to the question whether it is, in some sense, uniformly distributed. We present answers to this question for various interpretations of the phrase “uniformly d...
متن کاملON TOPOLOGICAL ENTROPY OF GROUP ACTIONS ON Sl
In this paper, we show that a surface group action on Sl with a non-zero Euler number has a positive topological entropy. We also show that if a surface group action on Sl has a Euler number which attains the maximal absolute value in the inequality of Milnor-Wood, then the topological entropy of the action equals the exponential growth rate of the group.
متن کاملThe Topological Version of Free Entropy
Notions of topological free entropy and of free capacity are introduced in the C∗algebra context. Basic properties, basic problems and connections to potential theory and random matrix theory are discussed.
متن کاملon the topological centers of module actions
in this paper, we study the arens regularity properties of module actions. we investigate some properties of topological centers of module actions ${z}^ell_{b^{**}}(a^{**})$ and ${z}^ell_{a^{**}}(b^{**})$ with some conclusions in group algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.11.038