Topological entropy in totally disconnected locally compact groups

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Representations of Locally Compact Totally Disconnected Groups

Let G be a locally compact totally disconnected group. Recall that every neighborhood of 1 in G contains a compact open subgroup. If G is assumed to be compact, then every neighborhood of 1 in G contains a compact open normal subgroup. On the other hand, it follows from properties of Lie groups that the group GL(n,C) has the property that there is some neighborhood of the identity which contain...

متن کامل

Dynamics of flat actions on totally disconnected, locally compact groups

Let G be a totally disconnected, locally compact group and let H be a virtually flat (for example, polycyclic) group of automorphisms of G. We study the structure of, and relationships between, various subgroups of G defined by the dynamics of H. In particular, we consider the following four subgroups: the intersection of all tidy subgroups for H on G (in the case that H is flat); the intersect...

متن کامل

Normal subgroup structure of totally disconnected locally compact groups

The present article is a summary of joint work of the author and Phillip Wesolek on the normal subgroup structure of totally disconnected locally compact second-countable (t.d.l.c.s.c.) groups. The general strategy is as follows: We obtain normal series for a t.d.l.c.s.c. group in which each factor is ‘small’ or a non-abelian chief factor; we show that up to a certain equivalence relation (call...

متن کامل

Topology Proceedings 45 (2015) pp. 175-187: Topological entropy for automorphisms of totally disconnected locally compact groups

We give a “limit-free formula” simplifying the computation of the topological entropy for topological automorphisms of totally disconnected locally compact groups. This result allows us to extend to our setting several basic properties of the topological entropy known for compact groups.

متن کامل

On component extensions locally compact abelian groups

Let $pounds$ be the category of locally compact abelian groups and $A,Cin pounds$. In this paper, we define component extensions of $A$ by $C$ and show that the set of all component extensions of $A$ by $C$ forms a subgroup of $Ext(C,A)$ whenever $A$ is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. ...

متن کامل

ذخیره 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: Ergodic Theory and Dynamical Systems

سال: 2016

ISSN: 0143-3857,1469-4417

DOI: 10.1017/etds.2015.139