Covariant Fields of C∗-Algebras and Continuity of Spectra in Rieffel’s Pseudodifferential Calculus

Abstract

We show that Rieffel’s functor sends covariant C(T )-algebras in C(T )-algebras and covariant continuous fields of C∗-algebras in continuous fields of C∗-algebras. We use this to prove spectral continuity results for families of Rieffel-type pseudodifferential operators.

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Cite this paper

@inproceedings{Belmonte2011CovariantFO, title={Covariant Fields of C∗-Algebras and Continuity of Spectra in Rieffel’s Pseudodifferential Calculus}, author={Fabien Belmonte}, year={2011} }