27 citations · 54 across the 11 of their papers we have counts for
12 papers
Toeplitz Matrices acting on the -space of an imprimitivity bimodule
Beatriz Abadie
We give a definition of Toeplitz matrix acting on the -space of an imprimitivity bimodule over a -algebra . We characterize the set of Toeplitz matrices as the…
Ideals in Cross Sectional C*-algebras of Fell Bundles
Beatriz Abadie, Fernando Abadie
With each Fell bundle over a discrete group G we associate a partial action of G on the spectrum of the unit fiber. We discuss the ideal structure of the corresponding full and red…
Homotopy invariance through small stabilizations
Beatriz Abadie, Guillermo Cortiñas
We associate an algebra $\Gami(\fA)$ to each bornological algebra $\fA$. The algebra $\Gami(\fA)$ contains a two-sided ideal $I_{S(\fA)}$ for each symmetric ideal $S\triqui\elli$ o…
Takai Duality for Crossed Products by Hilbert C*-bimodules
Beatriz Abadie
We discuss the crossed product by the dual action of the circle on the crossed product of a C*-algebra A by a Hilbert C*-bimodule X. When X is an A-A Morita equivalence bimodule, t…
Unique ergodicity of free shifts and some other automorphisms of C*-algebras
Beatriz Abadie, Ken Dykema
A notion of unique ergodicity relative to the fixed-point subalgebra is defined for automorphisms of unital C*-algebras. It is proved that the free shift on any reduced amalgamated…
Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules
Beatriz Abadie, Mauricio Achigar
Given a correspondence X over a C*-algebra A, we construct a C*-algebra and a Hilbert C*-bimodule over it whose crossed product is isomorphic to the augmented Cuntz-Pimsner C*-alge…