Free quasi-free states

被引：0

作者：

Shlyakhtenko, D

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1996年 / 322卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define algebras similar to those of the Free Gaussian functor of Voiculescu, which admit free quasi-free states. These states are analogues of the quasi-free states of the CAR and CCR algebras. We show that these algebras are free products of other algebras, and that the associated von Neumann algebras are full type III factors. We give their complete classification in the almost-periodic case.

引用

页码：645 / 649

页数：5

共 50 条

[1] Free quasi-free states
Shlyakhtenko, D
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1997, 177 (02) : 329 - 368
[2] QUASI-FREE STATES
MANUCEAU, J
VERBEURE, A
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE B, 1968, 266 (02): : 32 - &
[3] COHERENT AND QUASI-FREE STATES
DEMOEN, B
[J]. ANNALES DE L INSTITUT HENRI POINCARE SECTION A PHYSIQUE THEORIQUE, 1979, 31 (01): : 1 - 4
[4] Symmetry reduction of quasi-free states
Torre, C. G.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (06)
[5] Free quasi-free states and type III factors
Vaes, S
[J]. ASTERISQUE, 2005, (299) : 329 - 350
[6] CLASSICAL ENTROPY OF QUASI-FREE STATES
SCUTARU, H
[J]. PHYSICS LETTERS A, 1995, 200 (02) : 91 - 94
[7] ON PRODUCT FORM OF QUASI-FREE STATES
MANUCEAU, J
ROCCA, F
TESTARD, D
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (01) : 43 - &
[8] Free or quasi-free electronic density of states in a confined atom
Meng, XJ
Zhu, XR
Tian, MF
Jiang, MH
Wang, ZG
[J]. CHINESE PHYSICS LETTERS, 2005, 22 (02) : 310 - 313
[9] THE STATES WITH GAUSSIAN WIGNER FUNCTIONS ARE QUASI-FREE STATES
SCUTARU, H
[J]. PHYSICS LETTERS A, 1989, 141 (5-6) : 223 - 225
[10] GEOMETRY OF QUASI-FREE STATES OF CCR ALGEBRAS
Yamagami, Shigeru
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2010, 21 (07) : 875 - 913

← 1 2 3 4 5 →