On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties

Details On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties

2010-12-23

arxiv.org/abs/1012.5196v1

Mathematics

Operator Algebras

Scientific paper

We introduce and study locally AW*-algebras (Baer locally C*-algebras) as a locally multiplicatively-convex generalization of AW*-algebras of Kaplansky. Among other basic properties of these algebras, it is established that: {\bullet} A locally C*-algebra is a locally AW*-algebra iff there exists its Arens-Michael decomposition consisting entirely of AW*-algebras; {\bullet} A bounded part of a locally AW*-algebra is an AW*-algebra; {\bullet} The Spectral Theorem for locally AW*-algebras.

Affiliated with

Also associated with

No associations

Rating

On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296721