Introduction Actions of matched pairs Cocycles attached to the pentagon equation Multiplicative unitary Kac algebra structure Group-like elements Examples of finite-dimensional Kac algebras Inclusions with the Coxeter-Dynkin graph $D^{(1)}_6$ and the Kac-Paljutkin algebra Struct…
This paper is largely devoted to the behaviour of operators which are polynomials (in several variables) in full and one-sided shifts, together with their corresponding Toeplitz operators, with consequences for product type actions of compact connected Lie groups. Problems are o…
In this paper we develop geometric notions related to self-adjoint projections and one-sided ideals in operator algebras. In the context of affine function spaces on convex sets we define projective units. P-projections, and projective faces which generalize respectively self-ad…
