• Keine Ergebnisse gefunden

Scale function and topological entropy in locally compact totally disconnected groups

N/A
N/A
Info
Herunterladen
Protected

Academic year: 2022

Aktie "Scale function and topological entropy in locally compact totally disconnected groups"

Copied!
1
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Jetzt herunterladen ( 1 Seite )

Volltext

(1)

Scale function and topological entropy in locally compact totally disconnected groups

Federico Berlai

Let Gbe a locally compact totally disconnected group. Until the definition of scale function in such groups given by George Willis, almost the only structure known was a theorem of van Dantzig, namely that a locally compact totally disconnected groupGhas a local base at eG given by compact, open subgroups.

In this talk I will explain the relationship between the scale function s(φ) of a topological automorphism of G and the topological entropy htop(φ) of the same automorphism. It will be presented a necessary and sufficient condition for the equalityhtop(φ) = logs(φ), and some other properties will be pointed out. Joint work with A. Giordano Bruno and D. Dikranjan.

1

Referenzen

Jetzt herunterladen ( PDF - 1 Seite - 53.91 KB )

ÄHNLICHE DOKUMENTE

Intervals of Almost Totally Positive Matrices

[r]

On Weil restriction of reductive groups and a theorem of Prasad

To fix ideas, a smooth linear algebraic group over a field will be called simple if it is non-trivial and possesses no non-trivial proper connected smooth normal algebraic subgroup..

COMPACT SUBGROUPS OF LINEAR ALGEBRAIC GROUPS

Theorem 0.7: Consider an absolutely simple connected adjoint group G over a local field F and a compact Zariski-dense subgroup Γ ⊂ G(F ).. Assume that the adjoint rep- resentation of

The isoperimetric function of groups defined by a single positive word Arye Juhasz

Abstract: We develop a method which sorts out all those positive words for which the groups defined by the words are not small cancellation groups, in any generalised

Representation theory of groups — Prof. G. Arzhantseva Winter semester — 2017 — Exam questions

(26) Amenable locally compact groups: definition, (non)-examples, characterization using the concept of weak containment.. Characterization of Kazhdan’s locally

Topological Groups

I’m working on lecture notes, which might (or might not) be complete by the end of the summer

Introduction to Compact Groups

For every compact abelian group G there is a filter basis N of compact subgroups such that G is the strict projective limit lim N∈N G/N of factor groups each of which is a

May 11, 2006 Introduction to Compact Groups We discussed projective limits of projective systems of compact groups. The important result was Proposition A. Let {G

We discussed projective limits of projective systems of compact groups.. The important