 

Alan Haynes and Sara Munday
Density of orbits of semigroups of endomorphisms acting on the Adeles view print


Published: 
August 5, 2013

Keywords: 
Topological dynamics, Adeles 
Subject: 
54H20, 11J71 


Abstract
We investigate the question of whether or not the orbit of a point in A/Q, under the natural action of a subset Σ⊆Q, is dense in A/Q. We prove that if the set Σ is a multiplicative semigroup of Q^{×} which contains at least two multiplicatively independent elements, one of which is an integer, then the orbit Σα of any point α with irrational real coordinate is dense.


Acknowledgements
Research of both authors supported by EPSRC grant EP/J00149X/1.


Author information
School of Mathematics, University of Bristol, Bristol, UK
alan.haynes@bristol.ac.uk
sara.munday@bris.ac.uk

