47 citations · 62 across the 7 of their papers we have counts for
7 papers
On the construction of fuzzy spaces and modules over shift algebras
Joakim Arnlind, Andreas Sykora
We introduce shift algebras as certain crossed product algebras based on general function spaces and study properties, as well as the classification, of a particular class of modul…
A new class of fuzzy spaces with classical limit
Andreas Sykora
We present a new type of matrix regularization, which is based on matrix-valued functions defined on a cylinder. If non-commutative coordinates of a fuzzy space are defined by a re…
The fuzzy space construction kit
Andreas Sykora
Fuzzy spaces like the fuzzy sphere or the fuzzy torus have received remarkable attention, since they appeared as objects in string theory. Although there are many higher dimensiona…
The application of star-products to noncommutative geometry and gauge theory
A. Sykora
We develop a formalism to realize algebras defined by relations on function spaces. For this porpose we construct the Weyl-ordered star-product and present a method how to calculat…
Realization of algebras with the help of star-products
Andreas Sykora, Claudia Jambor
We present a closed formula for a family of star-products by replacing the partial derivatives in the Moyal-Weyl formula with commuting vector fields. We show how to reproduce alge…
NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products
Wolfgang Behr, Andreas Sykora
Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an appl…