11 citations · 23 across the 14 of their papers we have counts for
9 papers · 1 filter
On Rieffel's conjecture characterizing a deformed algebra as Heisenberg smooth operators
Rodrigo A. H. M. Cabral, Severino T. Melo
Let be a unital C-algebra and be the Hilbert -module defined as the completion of the -valued Schwartz function space $\mathcal{S}…
Differential Norms and Rieffel Algebras
Rodrigo A. H. M. Cabral, Michael Forger, Severino T. Melo
We develop criteria to guarantee uniqueness of the C-norm on a *-algebra . Nontrivial examples are provided by the noncommutative algebras of -valued…
-Theory of Boutet de Monvel algebras with classical SG-symbols on the half space
Pedro T. P. Lopes, Severino T. Melo
We compute the -groups of the -algebra of bounded operators generated by the Boutet de Monvel operators with classical SG-symbols of order (0,0) and type 0 on $\mathbb{R}…
The Chern-Connes Character for pseudodifferential operators on the sphere
David P. Dias, Severino T. Melo
We compute the Chern-Connes character (a map from the -theory of a C-algebra under the action of a Lie group to the cohomology of its Lie algebra) for the -norm closure…
Cordes characterization for pseudodifferential operators with symbols valued on a noncommutative C*-algebra
Severino T. Melo, Marcela I. Merklen
Given a separable unital C*-algebra A, let E denote the Banach-space completion of the A-valued Schwartz space on Rn with norm induced by the A-valued inner product $<f,g>=\int f(x…
C*-Algebra-valued-symbol pseudodifferential operators: abstract characterizations
Severino T. Melo, Marcela I. Merklen
Given a separable unital C*algebra , let denote the Hilbert module equal to the completion of the Schwartz space of rapidly decreasing smooth functions from to e…