Mathematics – Operator Algebras
Scientific paper
2003-01-20
Int.J.Math. 16 (2005) 137-172
Mathematics
Operator Algebras
37 pages, uses xy. Revised version of the first part of the previous submission, to appear on Int. J. Math
Scientific paper
We construct the crossed product of a C(X)-algebra by an endomorphism, in such a way that the endomorphism itself becomes induced by the bimodule of continuous sections of a vector bundle. Some motivating examples for such a construction are given. Furthermore, we study the C*-algebra of G-invariant elements of the Cuntz-Pimsner algebra associated with a G-vector bundle, where G is a (noncompact, in general) group. In particular, the C*-algebra of invariant elements w.r.t. the action of the group of special unitaries of the given vector bundle is a crossed product in the above sense. We also study the analogous construction on certain Hilbert bimodules, called 'noncommutative pullbacks'.
Vasselli Ezio
No associations
LandOfFree
Crossed Products by Endomorphisms, Vector Bundles and Group Duality 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 Crossed Products by Endomorphisms, Vector Bundles and Group Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossed Products by Endomorphisms, Vector Bundles and Group Duality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-307058