A theory of dimension

被引：176

作者：

Longo, R

Roberts, JE

机构：

[1] ACCADEMIA NAZL LINCEI,CTR LINCEO INTERDISCIPLINARE,I-00165 ROME,ITALY

[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY

来源：

K-THEORY | 1997年 / 11卷 / 02期

关键词：

tensor C*-categories; amenability; subfactors; quantum groups;

D O I：

10.1023/A:1007714415067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In which a theory of dimension related to the Jones index and based on the notion of conjugation is developed. An elementary proof of the additivity and multiplicativity of the dimension is given and there is an associated trace. Applications are given to a class of endomorphisms of factors and to the theory of subfactors. An important role is played by a notion of amenability inspired by the work of Popa.

引用

页码：103 / 159

页数：57

共 30 条

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KAWAKAMI S, IN PRESS P AM MAT SO

[12] EXTENSION OF JONES THEORY ON INDEX TO ARBITRARY FACTORS [J].