On shifts of minimal index on the hyperfinite II1 factor

被引：0

作者：

Price, GL ^{[1
]}

机构：

[1] USN Acad, Dept Math 9E, Annapolis, MD 21402 USA

来源：

OPERATOR ALGEBRAS, QUANTIZATION, AND NONCOMMUTATIVE GEOMETRY: A CENTENNIAL CELEBRATION HONORING JOHN VON NEUMANN AND MARSHALL H. STONE | 2004年 / 365卷

关键词：

shift; *-endomorphism; conjugacy; entropy;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there exist shifts on the hyperfinite II1 factor of subfactor index 2 and commutant index 2 that are distinct from Powers' binary shifts. The conjugacy classes and the Connes-Stormer entropy of a family of these shifts are determined.

引用

页码：299 / 314

页数：16

共 14 条

[1] The structure of spin systems [J].

Arveson, W ;

Price, G .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2003, 14 (02) :119-137

[2] A CLASS OF SHIFTS ON THE HYPERFINITE II1-FACTOR [J].

BURES, D ;

YIN, HS .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (01) :169-175

[3]

CHODA M, 1990, CAN MATH B, V33, P423

[4] ENTROPY FOR AUTOMORPHISMS OF II1 VONNEUMANN ALGEBRAS [J].

CONNES, A ;

STORMER, E .

ACTA MATHEMATICA, 1975, 134 (3-4) :289-306

[5] INDEX FOR SUBFACTORS [J].

JONES, VFR .

INVENTIONES MATHEMATICAE, 1983, 72 (01) :1-25

[6]

Lidl R., 1994, INTRO FINITE FIELDS

[7] AN INDEX THEORY FOR SEMIGROUPS OF STAR-ENDOMORPHISMS OF B(H) AND TYPE-II1 FACTORS [J].

POWERS, RT .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1988, 40 (01) :86-114

[8] COCYCLE CONJUGACY CLASSES OF SHIFTS ON THE HYPERFINITE-II(1) FACTOR [J].

POWERS, RT ;

PRICE, GL .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 121 (02) :275-295

[9] The entropy of rational powers shifts [J].

Price, GL .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (06) :1715-1720

[10] Shifts on the hyperfinite Π1 factor [J].

Price, GL .

JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 156 (01) :121-169

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