5 papers
A duality theorem for ergodic actions of compact quantum groups on C*-algebras
Claudia Pinzari, John E. Roberts
The spectral functor of an ergodic action of a compact quantum group G on a unital C*-algebra is quasitensor, in the sense that the tensor product of two spectral subspaces is isom…
Regular Objects, Multiplicative Unitaries and Conjugation
Claudia Pinzari, John E. Roberts
The notion of left (resp. right) regular object of a tensor C*-category equipped with a faithful tensor functor into the category of Hilbert spaces is introduced. If such a categor…
Noncommutative pressure and the variational principle in Cuntz-Krieger-type C*-algebras
David Kerr, Claudia Pinzari
We define a notion of dynamical pressure at a self-adjoint element for a contractive completely positive self-map of an exact C*-algebra which adopts Voiculescu's approximation app…
An Algebraic Duality Theory for Multiplicative Unitaries
S. Doplicher, C. Pinzari, J. E. Roberts
Multiplicative Unitaries are described in terms of a pair of commuting shifts of relative depth two. They can be generated from ambidextrous Hilbert spaces in a tensor C*-category.…
Ideal structure and simplicity of the C*-algebras generated by Hilbert bimodules
Tsuyoshi Kajiwara, Claudia Pinzari, Yasuo Watatani
Pimsner introduced the C*-algebra O_X generated by a Hilbert bimodule X over a C*-algebra A. We look for additional conditions that X should satisfy in order to study simplicity an…