109 citations · 546 across the 60 of their papers we have counts for
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The Picard groupoid in deformation quantization
Stefan Waldmann
In this letter we give an overview on recent developments in representation theory of star product algebras. In particular, we relate the *-representation theory of *-algebras over…
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…
Morita Equivalence, Picard Groupoids and Noncommutative Field Theories
Stefan Waldmann
In this article we review recent developments on Morita equivalence of star products and their Picard groups. We point out the relations between noncommutative field theories and d…
Deformation Quantization: Observable Algebras, States and Representation Theory
Stefan Waldmann
In these lecture notes I give an introduction to deformation quantization. The quantization problem is discussed in some detail thereby motivating the notion of star products. Star…