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Relations and trails in lattices of projections in W*-algebras

Part of: Modular lattices, complemented lattices Selfadjoint operator algebras

Published online by Cambridge University Press:  23 August 2019

Edward Kissin
Edward Kissin*
Affiliation:
STORM, School of Computing and Digital Media, London Metropolitan University, 166-220 Holloway Road, London N7 8DB, UK ([email protected])
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Abstract

This paper concerns HH-relations in the lattices P(M) of all projections of W*-algebras M. If M is a finite algebra, all these relations are generated by trails in P(M). If M is an infinite countably decomposable factor, they are either generated by trails or associated with them.

Keywords

latticeHH-relation on a latticeradicalW*-algebraprojectiontrailtrace

MSC classification

Primary: 46L10: General theory of von Neumann algebras
Secondary: 06C99: None of the above, but in this section
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 4 , November 2019 , pp. 1189 - 1215
Copyright
Copyright © Edinburgh Mathematical Society 2019 

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