OUTER CONJUGACY OF SHIFTS ON THE HYPERFINITE-II-1-FACTOR

被引：10

作者：

BURES, D

YIN, HS

机构：

[1] Department of Mathematics, University of British Columbia, Vancouver, BC

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1990年 / 142卷 / 02期

关键词：

D O I：

10.2140/pjm.1990.142.245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a shift σ on the hyperfinite II1 factor R, we define the derived shift σ∞ to be the restriction of σ to the von Neumann algebra generated by the (σk(R))' {n-ary intersection} R. Outer conjugacy of shifts implies conjugacy of derived shifts. In the case of n-shifts with n prime, we calculate σ∞ explicitly. Combining this with the known classification of n-shifts up to conjugacy, we obtain useful outer-conjugacy invariants for n-shifts. © 1990 by Pacific Journal of Mathematics.

引用

页码：245 / 257

页数：13