 

Jane Hawkins and Cesar E. Silva
Characterizing Mildly Mixing Actions by Orbit Equivalence of Products


Published: 
March 18, 1998 
Keywords: 
mild mixing, amenable action, nonsingular endormorphism 
Subject: 
28D05, 28D99, 58F11 


Abstract
We characterize mildly mixing group actions
of a noncompact, locally compact, second countable group G
using orbit equivalence. We show an amenable action Φ
of
G is mildly mixing if and only if G is amenable and for
any nonsingular ergodic Gaction Ψ, the product
Gaction
Φ×Ψ is orbit equivalent to Ψ. We extend
the result to the case of finite measure preserving
noninvertible endomorphisms, i.e., when G=N, and show that
the theorem cannot be extended to include nonsingular
mildly mixing endomorphisms.


Acknowledgements
The first author was supported in part by the IMA with funds provided by the NSF & NSF grant DMS# 9203489
The second author was partially supported by NSF grant DMS #9214077


Author information
Jane Hawkins:
Math Department, CB #3250, University of North Carolina, Chapel Hill, NC 27599
jmh@math.unc.edu
http://www.math.unc.edu/Faculty/jhawkins/
Cesar E. Silva:
Math Department, Williams College, Williamstown, MA 02167
Cesar.E.Silva@williams.edu
http://www.williams.edu/Mathematics/csilva/

