Fuglede-Kadison determinants and entropy for actions of discrete amenable groups

被引:51
作者
Deninger, Christopher
机构
[1] Univ Munster, Inst Math, D-48149 Munster, Germany
[2] Max Planck Inst, Bonn, Germany
关键词
Fuglede-Kadison determinant; entropy; amenable group; Mahler measure;
D O I
10.1090/S0894-0347-06-00519-4
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:737 / 758
页数:22
相关论文
共 24 条
[1]  
[Anonymous], 1971, FUNCTIONAL ANAL, DOI DOI 10.1007/978-3-662-00781-5
[2]  
Boyd DW, 2002, NUMBER THEORY FOR THE MILLENNIUM I, P127
[3]   Mahler's measure and special values of L-functions [J].
Boyd, DW .
EXPERIMENTAL MATHEMATICS, 1998, 7 (01) :37-82
[5]  
DIXMIER J, 1982, N HOLLAND MATH LIB, V15
[6]   Amenable groups, topological entropy and Betti numbers [J].
Elek, G .
ISRAEL JOURNAL OF MATHEMATICS, 2002, 132 (1) :315-335
[7]   DETERMINANT THEORY IN FINITE FACTORS [J].
FUGLEDE, B ;
KADISON, RV .
ANNALS OF MATHEMATICS, 1952, 55 (03) :520-530
[8]  
Grigorchuk R.I., 1991, P INT C MATH, P325
[9]  
Katznelson Y., 2004, INTRO HARMONIC ANAL, DOI DOI 10.1017/CBO9781139165372
[10]  
LEPTIN H, 1979, J REINE ANGEW MATH, V306, P122