RELATIVE COMMUTANT ALGEBRAS OF POWERS BINARY SHIFTS ON THE HYPERFINITE-II1-FACTOR

被引：9

作者：

ENOMOTO, M

NAGISA, M

WATATANI, Y

YOSHIDA, H

机构：

[1] KOSHIEN UNIV,COLL BUSINESS ADM & INFORMAT SCI,TAKARAZUKA,HYOGO 665,JAPAN

[2] HOKKAIDO UNIV,FAC SCI,DEPT MATH,SAPPORO,HOKKAIDO 060,JAPAN

[3] CHIBA UNIV,FAC SCI,DEPT MATH,CHIBA 260,JAPAN

[4] INST STAT MATH,MINATO KU,TOKYO 106,JAPAN

来源：

MATHEMATICA SCANDINAVICA | 1991年 / 68卷 / 01期

关键词：

D O I：

10.7146/math.scand.a-12350

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine the structure of relative commutant algebras for binary shifts whose signature sequences have finite supports and we see that most binary shifts are classified by relative commutant algebras up to outer conjugacy. Also, we show that there exist two different signature sequences a1 and a2 such that the Bratteli diagrams of the relative commutant algebras for binary shifts obtained from a1 and a2 respectively are the same.

引用

页码：115 / 130

页数：16

共 13 条

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