Amalgamated free product over Cartan subalgebra

Yoshimichi Ueda

Vol. 191 (1999), No. 2, 359–392

DOI: 10.2140/pjm.1999.191.359

Abstract

We study amalgamated free products of factors over their common Cartan subalgebras. We will show that the resulting amalgamated free product is a factor as long as given factors are non-type I and furthermore its (smooth) flow of weights is determined.

Milestones

Received: 15 January 1998

Revised: 6 November 1998

Published: 1 December 1999