Mathematics – Operator Algebras
Scientific paper
2007-05-14
Mathematics
Operator Algebras
Scientific paper
Graded $C^*$-algebras by a semi lattice were introduced and studied by Anne Boutet de Monvel, Vladimir Georgescu and their collaborators in relation with the quantum N body problem. This thesis is devoted to a systematic study of these algebras and their properties. In particular, we show that they are completely described by their homogenous subalgebras and that they are invariant under several operations such as tensor products, crossed products (by actions of locally compact groups that respect the graduation). We give the $K$-theory of graded $C^*$-algebras and finally, we study some examples of such algebras.
No associations
LandOfFree
$C^*$-algèbres graduées par un semi-treillis 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 $C^*$-algèbres graduées par un semi-treillis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $C^*$-algèbres graduées par un semi-treillis will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-365984