Covariant Fields of C*-Algebras and Continuity of Spectra in Rieffel's Pseudodifferential Calculus

Details Covariant Fields of C*-Algebras and Continuity of Spectra in Rieffel's Pseudodifferential Calculus Covariant Fields of C*-Algebras and Continuity of Spectra in Rieffel's Pseudodifferential Calculus

2011-01-14

arxiv.org/abs/1101.2751v2

Mathematics

Operator Algebras

18 pages

Scientific paper

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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