Prime type III factors

Authors
Citation
D. Shlyakhtenko, Prime type III factors, P NAS US, 97(23), 2000, pp. 12439-12441
Citations number
7
Categorie Soggetti
Multidisciplinary
Journal title
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
ISSN journal
00278424 → ACNP
Volume
97
Issue
23
Year of publication
2000
Pages
12439 - 12441
Database
ISI
SICI code
0027-8424(20001107)97:23<12439:PTIF>2.0.ZU;2-H
Abstract
It is shown that for each 0 < <lambda> < 1, the free Araki-Woods factor of type III<lambda> cannot be written as a tensor product of two diffuse von N eumann algebras (i.e.. is prime) and does not contain a Cartan subalgebra.