The non-commutative analytic Toeplitz algebra is the wotâ€“ closed algebra generated by the left regular representation of the free semigroup on n generators. We develop a detailed picture of theâ€¦ (More)

The non-commutative analytic Toeplitz algebra is the wotâ€“closed algebra generated by the left regular representation of the free semigroup on n generators. We obtain a distance formula to anâ€¦ (More)

Let (A, Î±) and (B, Î²) be C*-dynamical systems and assume that A is a separable simple C*-algebra and that Î± and Î² are âˆ—-automorphisms. Then the semicrossed products AÃ—Î±Z and B Ã—Î² Z are isometricallyâ€¦ (More)

A free semigroup algebra is the wot-closed algebra generated by an n-tuple of isometries with pairwise orthogonal ranges. The interest in these algebras arises primarily from two of their interestingâ€¦ (More)

A family of algebras, which we call topological conjugacy algebras, is associated with each proper continuous map on a locally compact Hausdorff space. Assume that Î·i : Xi â†’ Xi is a continuous properâ€¦ (More)

We obtain necessary and sufficient conditions for NevanlinnaPick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy f â€²(0) = 0.â€¦ (More)

We show that skyscrapers are possible even in cities like Meanieâ€“ apolis. This lofty assertion leads to a new class of elementary inequalities, the simplest example being v u u t 1 m m X

In this paper we study irreducible representations of regular limit subalgebras of AF-algebras. The main result is twofold: every closed prime ideal of a limit of direct sums of nest algebras (NSAF)â€¦ (More)

A contractive n-tuple A = (A1, . . . , An) has a minimal joint isometric dilation S = (S1, . . . , Sn) where the Siâ€™s are isometries with pairwise orthogonal ranges. This determines a representationâ€¦ (More)

Let X be a locally compact Hausdorff space with n proper continuous self maps Ïƒi : X â†’ X for 1 â‰¤ i â‰¤ n. To this we associate two conjugacy operator algebras which emerge as the natural candidates forâ€¦ (More)