NUCLEAR MAPS AND MODULAR STRUCTURES .1. GENERAL-PROPERTIES

被引：56

作者：

BUCHHOLZ, D

DANTONI, C

LONGO, R

机构：

[1] UNIV ROME LA SAPIENZA,DEPARTIMENTO MATEMAT,I-00185 ROME,ITALY

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 88卷 / 02期

关键词：

D O I：

10.1016/0022-1236(90)90104-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a correspondence between the split property of inclusions A ⊂ B of von Neumann algebras and nuclearity properties of the natural embeddings φp: L∞(A) → Lp(B), p = 1, 2, given by the modular theory. © 1990.

引用

页码：233 / 250

页数：18

共 21 条

[1]

ARAKI H, 1982, PUBL RES I MATH SCI, V18, P330

[2]

Bourbaki N., 1959, ACTUAL SCI IND, V1281

[3] CAUSAL INDEPENDENCE AND THE ENERGY-LEVEL DENSITY OF STATES IN LOCAL QUANTUM-FIELD THEORY [J].

BUCHHOLZ, D ;

WICHMANN, EH .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 106 (02) :321-344

[4] ON NOETHER THEOREM IN QUANTUM-FIELD THEORY [J].

BUCHHOLZ, D ;

DOPLICHER, S ;

LONGO, R .

ANNALS OF PHYSICS, 1986, 170 (01) :1-17

[5]

BUCHHOLZ D, IN PRESS COMM MATH P

[6] PROPERTY-T FOR VONNEUMANN-ALGEBRAS [J].

CONNES, A ;

JONES, V .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1985, 17 (JAN) :57-62

[7]

CONNES A, 1982, P SYMP PURE MATH, V38, P43

[8] HOMOGENEITY OF STATE SPACE OF FACTORS OF TYPE-III [J].

CONNES, A ;

STORMER, E .

JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 28 (02) :187-196

[9]

CONNES A, 1974, AN I FOURIER GRENOBL, V24, P4

[10] INTERPOLATION BY TYPE-I FACTORS AND THE FLIP AUTOMORPHISM [J].

DANTONI, C ;

LONGO, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1983, 51 (03) :361-371

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