Full Groups, Classification, and Equivalence RelationsUniversity of California, Berkeley, 2004 - 542 pages |
Contents
Compositions of two involutions | 21 |
The full group of a group of automorphisms | 48 |
Compositions of periodic automorphisms | 59 |
5 other sections not shown
Common terms and phrases
A-discrete a₁ action of G admit maximal discrete admits a maximal An+1 aperiodic aperiodic automorphism Aut(A Berkeley Berkeley LIBRARY Bn+1 Borel automorphisms Borel cocycle Borel complete section Borel equivalence relation Borel forest Borel function Borel graph Borel subsets CALIFORNIA Berkeley Berkeley CALIFORNIA LIBRARY cardinality strictly less clopen comeager complete Boolean algebra conjugate contradiction countable Borel equivalence countable group D-aperiodic D-compression D-invariant probability measure denote dom(F dµ(x E-class E-invariant Borel set element ergodic ergodic theory exists forest of lines full group hyperfinite induced invariant involutions Kakutani equivalence Kechris Lemma maximal discrete section Nadkarni natural number non-crossing non-smooth non-zero normal subgroups o-complete Boolean algebra pairwise disjoint partial transversal partition partition of unity Polish space probability measure Proof purely atomic quasi-invariant recurrent smooth strict period subequivalence relation supp(T Suppose Theorem topology uncountable UNIVERSITY OF CALIFORNIA