A note on one-parameter groups of automorphisms

A. B. Thaheem and Noor Mohammad

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-4

Abstract:

Let { α t : t ∈ R } and { β t : t ∈ R } be two commuting one-parameter groups of ∗ -automorphisms of a von Neumann algebra M such that α t + α − t = β t + β − t for all t ∈ R . The purpose of this note is to provide a simple and short proof of the central decomposition result: α t = β t on M p and a α t = β − t on M ( 1 − p ) for a central projection p ∈ M , without using the theory of spectral subspaces.

Date: 1990
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/13/891623.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/13/891623.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:891623

DOI: 10.1155/S0161171290000175

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().