Fabian Belmonte and Marius Mantoiu Covariant Fields of C*-Algebras and Continuity of Spectra in Rieffel's Pseudodifferential Calculus (219K, pdf) 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 cotinuity reults for families of Rieffel-type pseudodiferential operators.