Modulation and Hilbert Space Representations for Rieffel's Pseudodifferential Calculus

Details Modulation and Hilbert Space Representations for Rieffel's Pseudodifferential Calculus Modulation and Hilbert Space Representations for Rieffel's Pseudodifferential Calculus

2010-10-03

arxiv.org/abs/1010.0411v1

Mathematics

Functional Analysis

13 pages

Scientific paper

We define modulation maps and modulation spaces of symbols suited to the
study of Rieffel's pseudodifferential calculus. They are used to generate
Hilbert space representations for the quantized $C^*$-algebras starting from
covariant representations of the corresponding twisted $C^*$-dynamical system.

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