• norsk
    • English
  • English 
    • norsk
    • English
  • Login
View Item 
  •   Home
  • Øvrige samlinger
  • Publikasjoner fra CRIStin - NTNU
  • View Item
  •   Home
  • Øvrige samlinger
  • Publikasjoner fra CRIStin - NTNU
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Zd-odometers and cohomology

Giordano, Thierry; Putnam, Ian F.; Skau, Christian Fredrik
Journal article, Peer reviewed
Accepted version
Thumbnail
View/Open
Giordano (275.4Kb)
URI
http://hdl.handle.net/11250/2636356
Date
2019
Metadata
Show full item record
Collections
  • Institutt for matematiske fag [2676]
  • Publikasjoner fra CRIStin - NTNU [41890]
Original version
Groups, Geometry, and Dynamics. 2019, 13 (3), 909-938.   10.4171/GGD/509
Abstract
Cohomology for actions of free abelian groups on the Cantor set has (when endowed with an order structure) provided a complete invariant for orbit equivalence. In this paper, we study a particular class of actions of such groups called odometers (or profinite actions) and investigate their cohomology. We show that for a free, minimal Zd-odometer, the first cohomology group provides a complete invariant for the action up to conjugacy. This is in contrast with the situation for orbit equivalence where it is the cohomology in dimension d which provides the invariant. We also consider classification up to isomorphism and continuous orbit equivalence.
Publisher
European Mathematical Society Publishing House
Journal
Groups, Geometry, and Dynamics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit
 

 

Browse

ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDocument TypesJournalsThis CollectionBy Issue DateAuthorsTitlesSubjectsDocument TypesJournals

My Account

Login

Statistics

View Usage Statistics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit