Mathematics – Operator Algebras
Scientific paper
2001-06-13
Mathematics
Operator Algebras
Scientific paper
We prove that if a conditional expectation from a simple $C^*$-algebra onto its $C^*$-subalgebra satisfies the Pimsner-Popa inequality, there exists a quasi-basis. As an application, we establish the Galois correspondence for outer actions of finite groups (and more generally finite dimensional Kac algebras) on simple $C^*$-algebras. We also introduce the notion of sectors for stable simple $C^*$-algebras and purely infinite simple $C^*$-algebras in the Cuntz standard form, and discuss several applications, including their relationship to $K$-theory.
No associations
LandOfFree
Inclusions of simple $C^*$-algebras 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 Inclusions of simple $C^*$-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inclusions of simple $C^*$-algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-275923