Continuous Decomposition of Real von Neumann Algebras of Type III

Sh. Usmanov ()
Additional contact information
Sh. Usmanov: Uzbekistan Academy of Sciences, Institute of Mathematics

A chapter in Algebra and Operator Theory, 1998, pp 111-116 from Springer

Abstract: Abstract Let $$ \Re $$ be a real von Neumann algebra. We consider Takesaki’s duality for enveloping von Neumann algebra $$ U(\Re ) = \Re + i\Re $$ and the action of modular automorphism σ φ for α-invariant weight on $$ U(\Re ) $$ , where α is an involutory *-antiautomorphisin of $$ U(\Re ) $$ , generating $$ \Re $$ . We obtain the theorem of continuous decomposition of real type III factor into the crossed product of real von Neumann of type II∞, by one-parameter group of automorphisms.

Keywords: Operator Algebra; Jordan Algebra; Complex Hilbert Space; Real Type; Continuous Decomposition (search for similar items in EconPapers)
Date: 1998
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-94-011-5072-9_9

Ordering information: This item can be ordered from
http://www.springer.com/9789401150729

DOI: 10.1007/978-94-011-5072-9_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().