Geodesic
On Constructing Ergodic Hyperfinite Equivalence Relations of Non-Product Type
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 136-147

Voir la notice de l'article provenant de la source Cambridge

DOI

Product type equivalence relations are hyperfinite measured equivalence relations, which, up to orbit equivalence, are generated by product type odometer actions. We give a concrete example of a hyperfinite equivalence relation of non-product type, which is the tail equivalence on a Bratteli diagram. In order to show that the equivalence relation constructed is not of product type we will use a criterion called property $\text{A}$ . This property, introduced by Krieger for non-singular transformations, is defined directly for hyperfinite equivalence relations in this paper.
DOI : 10.4153/CMB-2011-132-4
Mots-clés : 37A20, 37A35, 46L10, property A, hyperfinite equivalence relation, non-product type 
Munteanu, Radu-Bogdan. On Constructing Ergodic Hyperfinite Equivalence Relations of Non-Product Type. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 136-147. doi: 10.4153/CMB-2011-132-4
@article{10_4153_CMB_2011_132_4,
     author = {Munteanu, Radu-Bogdan},
     title = {On {Constructing} {Ergodic} {Hyperfinite} {Equivalence} {Relations} of {Non-Product} {Type}},
     journal = {Canadian mathematical bulletin},
     pages = {136--147},
     year = {2013},
     volume = {56},
     number = {1},
     doi = {10.4153/CMB-2011-132-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-132-4/}
}
TY  - JOUR
AU  - Munteanu, Radu-Bogdan
TI  - On Constructing Ergodic Hyperfinite Equivalence Relations of Non-Product Type
JO  - Canadian mathematical bulletin
PY  - 2013
SP  - 136
EP  - 147
VL  - 56
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-132-4/
DO  - 10.4153/CMB-2011-132-4
ID  - 10_4153_CMB_2011_132_4
ER  - 
%0 Journal Article
%A Munteanu, Radu-Bogdan
%T On Constructing Ergodic Hyperfinite Equivalence Relations of Non-Product Type
%J Canadian mathematical bulletin
%D 2013
%P 136-147
%V 56
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-132-4/
%R 10.4153/CMB-2011-132-4
%F 10_4153_CMB_2011_132_4

Cité par Sources :