Compressions of free products of von Neumann algebras

Citation
Kj. Dykema et F. Radulescu, Compressions of free products of von Neumann algebras, MATH ANNAL, 316(1), 2000, pp. 61-82
Citations number
29
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ANNALEN
ISSN journal
00255831 → ACNP
Volume
316
Issue
1
Year of publication
2000
Pages
61 - 82
Database
ISI
SICI code
0025-5831(200001)316:1<61:COFPOV>2.0.ZU;2-Z
Abstract
A reduction formula for compressions of von Neumann algebra II1-factors ari sing as free products is proved. This shows that the fundamental group is R T for some such algebras. Additionally, by taking a sort of free product wi th an unbounded semicircular element, continuous one parameter groups of tr ace scaling automorphisms on IIinfinity-factors are constructed; this produ ces type III1 factors with core M x B(H), where M can be a full II1-factor without the Haagerup approximation property.