4.5 Article

The density theorem for projective representations via twisted group von Neumann algebras

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Summary: This article examines the relationship between the spanning properties of lattice orbits of discrete series representations and the associated lattice co-volume. The focus is on the density theorem, which characterizes the existence of cyclic vectors and separating vectors, as well as frames and Riesz sequences. An elementary exposition of the density theorem is provided, using basic tools from harmonic analysis, representation theory, and frame theory, and illustrated with examples.

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