On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras.
On quantales that classify -algebras
On -representations of the Hopf -algebra associated with the quantum group
On the asymptotic homotopy type of inductive limit C*-algebras.
Order theory and interpolation in operator algebras
In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras. Here we continue to develop this positivity and its associated ordering, proving many foundational facts. We also give many applications, for example to noncommutative topology, noncommutative peak sets, lifting problems, peak interpolation, approximate identities, and to order relations between an operator...