Some analysis of amalgamated free products of von Neumann algebras in the non-tracial setting

被引：18

作者：

Ueda, Yoshimichi ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8190395, Japan

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 88卷

关键词：

II1; FACTORS; HNN EXTENSIONS; RIGIDITY; SUBFACTORS; FULLNESS; INDEX;

D O I：

10.1112/jlms/jds081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several techniques together with some partial answers are given to the questions of factoriality, type classification and fullness for amalgamated free product von Neumann algebras.

引用

页码：25 / 48

页数：24

共 50 条

[41] FREE PRODUCTS OF VONNEUMANN NEUMANN ALGEBRAS
CHING, WM
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 178 (APR) : 147 - 163
[42] Zero divisors in amalgamated free products of Lie algebras
Chirkov, IV
Shevelin, MA
SIBERIAN MATHEMATICAL JOURNAL, 2004, 45 (01) : 188 - 195
[43] RANDOM MATRICES, AMALGAMATED FREE-PRODUCTS AND SUBFACTORS OF THE VON-NEUMANN ALGEBRA OF A FREE GROUP, OF NONINTEGER INDEX
RADULESCU, F
INVENTIONES MATHEMATICAE, 1994, 115 (02) : 347 - 389
[44] Zero Divisors in Amalgamated Free Products of Lie Algebras
I. V. Chirkov
M. A. Shevelin
Siberian Mathematical Journal, 2004, 45 : 188 - 195
[45] Free probability and the von Neumann algebras of free groups
Voiculescu, D
REPORTS ON MATHEMATICAL PHYSICS, 2005, 55 (01) : 127 - 133
[46] On the Identity of Some von Neumann Algebras and Some Consequences
Luciano Bracci
Luigi Ettore Picasso
Letters in Mathematical Physics, 2010, 93 : 267 - 277
[47] On the Identity of Some von Neumann Algebras and Some Consequences
Bracci, Luciano
Picasso, Luigi Ettore
LETTERS IN MATHEMATICAL PHYSICS, 2010, 93 (03) : 267 - 277
[48] Rigidity of free product von Neumann algebras
Houdayer, Cyril
Ueda, Yoshimichi
COMPOSITIO MATHEMATICA, 2016, 152 (12) : 2461 - 2492
[49] On some subalgebras of von Neumann algebras with analyticity
Ohwada, T
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 222 (02) : 274 - 291
[50] SOME REMARKS ON TENSOR-PRODUCTS OF STANDARD FORMS OF VON-NEUMANN-ALGEBRAS
CUCULESCU, I
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1993, 7B (04): : 907 - 919

← 1 2 3 4 5 →