84 citations · 209 across the 6 of their papers we have counts for
4 papers · 2 filters
Bicategories of operator algebras and Poisson manifolds
N. P. Landsman
It is well known that rings are the objects of a bicategory, whose arrows are bimodules, composed through the bimodule tensor product. We give an analogous bicategorical descriptio…
Functoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids
N. P. Landsman
It is well known that a measured groupoid G defines a von Neumann algebra W*(G), and that a Lie groupoid G canonically defines both a C*-algebra C*(G) and a Poisson manifold A*(G).…
Quantized reduction as a tensor product
N. P. Landsman
Symplectic reduction is reinterpreted as the composition of arrows in the category of integrable Poisson manifolds, whose arrows are isomorphism classes of dual pairs, with symplec…
Quantization of Poisson algebras associated to Lie algebroids
N. P. Landsman, B. Ramazan
We prove the existence of a strict deformation quantization for the canonical Poisson structure on the dual of an integrable Lie algebroid. It follows that any Lie groupoid C*-alge…