New York Journal of Mathematics
Volume 19 (2013) 443-454

  

Alan Haynes and Sara Munday

Density of orbits of semigroups of endomorphisms acting on the Adeles

view    print


Published: May 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