Physics – Mathematical Physics
Scientific paper
2000-08-02
Physics
Mathematical Physics
16 pages
Scientific paper
A theorem of Muhly-Renault-Williams states that if two locally compact groupoids with Haar system are Morita equivalent, then their associated convolution C*-algebras are strongly Morita equivalent. We give a new proof of this theorem for Lie groupoids. Subsequently, we prove a counterpart of this theorem in Poisson geometry: If two Morita equivalent Lie groupoids are s-connected and s-simply connected, then their associated Poisson manifolds (viz. the dual bundles to their Lie algebroids) are Morita equivalent in the sense of P. Xu.
No associations
LandOfFree
The Muhly-Renault-Williams theorem for Lie groupoids and its classical counterpart 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 The Muhly-Renault-Williams theorem for Lie groupoids and its classical counterpart, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Muhly-Renault-Williams theorem for Lie groupoids and its classical counterpart will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-403188