Displaying similar documents to “Twisted K-theory of differentiable stacks”

Functorial prolongations of Lie groupoids

Ivan Kolář (2007)

Banach Center Publications

Similarity:

For every Lie groupoid Φ with m-dimensional base M and every fiber product preserving bundle functor F on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps, we construct a Lie groupoid ℱ Φ over M. Every action of Φ on a fibered manifold Y → M is extended to an action of ℱ Φ on FY → M.