31 citations · 60 across the 5 of their papers we have counts for
8 papers · 1 filter
Induction of representations in deformation quantization
Henrique Bursztyn, Stefan Waldmann
We discuss the procedure of Rieffel induction of representations in the framework of formal deformation quantization of Poisson manifolds. We focus on the central role played by al…
Completely positive inner products and strong Morita equivalence
Henrique Bursztyn, Stefan Waldmann
We develop a general framework for the study of strong Morita equivalence in which -algebras and hermitian star products on Poisson manifolds are treated in equal footing. We…
Bimodule deformations, Picard groups and contravariant connections
Henrique Bursztyn, Stefan Waldmann
We study deformations of invertible bimodules and the behavior of Picard groups under deformation quantization. While K_0-groups are known to be stable under formal deformations of…
Semiclassical Geometry of Quantum Line Bundles and Morita Equivalence of Star Products
Henrique Bursztyn
In this paper we show how deformation quantization of line bundles over a Poisson manifold produces a canonical action of the Picard group $\Pic(M)\cong H^2(M,\mathbb Z)$ o…
Deformation Quantization of Hermitian Vector Bundles
Henrique Bursztyn, Stefan Waldmann
Motivated by deformation quantization, we consider in this paper -algebras over rings $\ring C = \ring{R}(i)$, where $\ring R$ is an ordered ring and , a…
Ideals and Formal Morita Equivalence of Algebras
Henrique Bursztyn, Stefan Waldmann
Motivated by deformation quantization, we introduced in an earlier work the notion of formal Morita equivalence in the category of -algebras over a ring $\ring C$ which is the…