caa a22 4500 44586883X CHVBK 20180317145506.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00605-010-0258-0 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0258-0 Families of type III0 ergodic transformations in distinct orbit equivalent classes [Elektronische Daten] [A. Dooley, J. Hawkins, D. Ralston] A new isomorphism invariant of certain measure preserving flows, using sequences of integers, is introduced. Using this invariant, we are able to construct large families of type III0 systems which are not orbit equivalent. In particular we construct an uncountable family of nonsingular ergodic transformations, each having an associated flow that is approximately transitive (and therefore of zero entropy), with the property that the transformations are pairwise not orbit equivalent. Springer-Verlag, 2011 Orbit equivalence nationallicence Isomorphism of flows nationallicence Ergodic transformations nationallicence Dooley A. School of Mathematics and Statistics, University of New South Wales, 2052, Syndey, NSW, Australia aut Hawkins J. Mathematics Department, CB #3250, University of North Carolina, 27599, Chapel Hill, NC, USA aut Ralston D. Department of Mathematics, Ben Gurion University, P.O.B. 653, 84105, Be'er Sheva, Israel aut Monatshefte für Mathematik Springer Vienna 164/4(2011-12-01), 369-381 0026-9255 164:4<369 2011 164 605 https://doi.org/10.1007/s00605-010-0258-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0258-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dooley A. School of Mathematics and Statistics, University of New South Wales, 2052, Syndey, NSW, Australia aut NATIONALLICENCE 700 1- Hawkins J. Mathematics Department, CB #3250, University of North Carolina, 27599, Chapel Hill, NC, USA aut NATIONALLICENCE 700 1- Ralston D. Department of Mathematics, Ben Gurion University, P.O.B. 653, 84105, Be'er Sheva, Israel aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 164/4(2011-12-01), 369-381 0026-9255 164:4<369 2011 164 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer