MEASURE CONJUGACY INVARIANTS FOR ACTIONS OF COUNTABLE SOFIC GROUPS

被引:125
作者
Bowen, Lewis [1 ]
机构
[1] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA
基金
美国国家科学基金会;
关键词
Entropy; Ornstein's isomorphism theorem; Bernoulli shifts; measure conjugacy; orbit equivalence; von Neumann equivalence; sofic groups; group measure space construction; MEASURE PRESERVING TRANSFORMATIONS; MALLEABLE ACTIONS; METRIC INVARIANT; AMENABLE GROUP; II1; FACTORS; ENTROPY; AUTOMORPHISMS; OPERATORS; RIGIDITY; INFINITY;
D O I
10.1090/S0894-0347-09-00637-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:217 / 245
页数:29
相关论文
共 44 条
[1]  
[Anonymous], 1959, Doklady Akademii Nauk
[2]   Periodicity and circle packings of the hyperbolic plane [J].
Bowen, L .
GEOMETRIAE DEDICATA, 2003, 102 (01) :213-236
[3]  
BOWEN L, ANN MATH IN PRESS
[4]  
BOWEN L, ARXIV09020174
[5]  
BOWEN L, ARXIV08122718
[6]   CLASSIFICATION OF INJECTIVE FACTORS - CASES II1, II INFINITY, III LAMBDA, LAMBDA NOT-EQUAL-TO 1 [J].
CONNES, A .
ANNALS OF MATHEMATICS, 1976, 104 (01) :73-115
[7]  
Connes: A., 1975, C. R. Acad. Sci. Paris Sr.I M ath, V281, pA13A15
[8]  
CONNES A, 1975, C R ACAD SCI PARIS A, V281, pAR2
[9]  
Connes A., 1981, Ergodic Theory and Dynamical Systems, V1, P431, DOI [10.1017/S014338570000136X, DOI 10.1017/S014338570000136X]
[10]  
DELAHARPE P, 1989, PROPRIETE T DEKAZHDA