caa a22 4500 386377820 CHVBK 20180307112027.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0143385700005320 doi S0143385700005320 pii (NATIONALLICENCE)cambridge-10.1017/S0143385700005320 Minimal self-joinings for nonsingular transformations [Elektronische Daten] The notion of minimal self-joinings for conservative nonsingular actions is defined as a restriction on the nature of rational self-joinings. The need to consider rational joinings is demonstrated by showing that any two type II1 actions whose Cartesian product is ergodic have type IIIλ nonsingular joinings. Lastly, actions of all Krieger types with minimal self-joinings are constructed. Hence these actions are prime and commute only with their powers. Copyright © Cambridge University Press 1989 Rudolph Daniel J. Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA Silva Cesar E. Department of Mathematics, Williams College, Williamstown, Massachusetts, 01267, USA Ergodic Theory and Dynamical Systems Cambridge University Press 9/4(1989-12), 759-800 0143-3857 9:4<759 1989 9 ETS https://doi.org/10.1017/S0143385700005320 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0143385700005320 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rudolph Daniel J. Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA NATIONALLICENCE 700 1- Silva Cesar E. Department of Mathematics, Williams College, Williamstown, Massachusetts, 01267, USA NATIONALLICENCE 773 0- Ergodic Theory and Dynamical Systems Cambridge University Press 9/4(1989-12), 759-800 0143-3857 9:4<759 1989 9 ETS CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge