Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras-Reference-Cited by-同舟云学术

Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras

Published:2019-01-29 Issue:3 Volume:150 Page:1495-1532
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Houdayer Cyril,Isono Yusuke

Abstract

AbstractWe investigate factoriality, Connes' type III invariants and fullness of arbitrary amalgamated free product von Neumann algebras using Popa's deformation/rigidity theory. Among other things, we generalize many previous structural results on amalgamated free product von Neumann algebras and we obtain new examples of full amalgamated free product factors for which we can explicitely compute Connes' type III invariants.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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