CROSSED-PRODUCTS OF TOTALLY DISCONNECTED SPACES BY Z(2)ASTERISK-Z(2)

被引：15

作者：

BRATTELI, O

EVANS, DE

KISHIMOTO, A

机构：

[1] UNIV TRONDHEIM,INST MATH,N-7034 TRONDHEIM NTH,NORWAY

[2] UNIV COLL SWANSEA,DEPT MATH & COMP SCI,SWANSEA SA2 8PP,W GLAM,WALES

[3] HOKKAIDO UNIV,DEPT MATH,SAPPORO,HOKKAIDO 060,JAPAN

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1993年 / 13卷

关键词：

D O I：

10.1017/S0143385700007483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let OMEGA be a totally disconnected compact metrizable space, and let alpha be a minimal homeomorphism of OMEGA. Let or be a homeomorphism of order 2 on OMEGA such that alphasigma = sigmaalpha-1, and assume that sigma or alphasigma has a fixed point. We prove (Theorem 3.5) that the crossed product C(OMEGA) X alpha Z X sigma Z2 is an AF-algebra.

引用

页码：445 / 484

页数：40

共 25 条

[1] THE REAL RANK OF INDUCTIVE LIMIT C-ASTERISK-ALGEBRAS [J].

BLACKADAR, B ;

DADARLAT, M ;

RORDAM, M .

MATHEMATICA SCANDINAVICA, 1991, 69 (02) :211-216

[2] REDUCTION OF REAL RANK IN INDUCTIVE LIMITS OF C-ALGEBRAS [J].

BLACKADAR, B ;

BRATTELI, O ;

ELLIOTT, GA ;

KUMJIAN, A .

MATHEMATISCHE ANNALEN, 1992, 292 (01) :111-126

[3]

BLACKADAR B., 1986, K THEORY OPERATOR AL

[4]

BRATTELI O, 1972, T AM MATH SOC, V171, P195

[5]

BRATTELI O, 1991, INT J MATH, V2, P139, DOI DOI 10.1142/S0129167X91000090

[6]

BRATTELI O, 1992, COMMUN MATH PHYS, V147, P606

[7]

BRATTELI O, IN PRESS FINITE GROU

[8]

BRATTELI O, UNPUB SMALL EIGENVAL

[9]

BRATTELI O, 1989, P OATE, V2

[10]

BRATTELI O, IN PRESS J OPERATOR

← 1 2 3 →