Graph algebras are a family of operator algebras which are associated to directed graphs.
These algebras have an attractive structure theory in which algebraic properties of the …

We present a general approach to a module frame theory in C*-algebras and Hilbert C*-
modules. The investigations rely on the ideas of geometric dilation to standard Hilbert C …

Suppose a C*-algebra A acts by adjointable operators on a Hilbert A-module X. Pimsner
constructed a C*-algebra 𝒪X which includes, for particular choices of X, crossed products of …

A Hilbert bimodule is a right Hilbert module X over a C∗-algebra A together with a left action
of A as adjointable operators on X. We consider families X={X s: s∈ P} of Hilbert bimodules …

Let X be a Hilbert bimodule over a C*-algebra A. We analyse the structure of the associated
Cuntz-Pimsner algebra 𝒪X and related algebras using representation-theoretic methods. In …

The goal of the present paper is a short introduction to a general module frame theory in C*-
algebras and Hilbert C*-modules. The reported investigations rely on the idea of geometric …

Our objective in this sequel to-correspondences, of two fundamental facts about isometries
on Hilbert space: The Wold decomposition theorem and Beurling's theorem, and to apply …

We introduce the notion of finite right (or left) numerical index on a C∗-bimodule AXB with a
bi-Hilbertian structure, based on a Pimsner–Popa-type inequality. The right index of X can …

EXACTNESS OF CUNTZ–PIMSNER C*-ALGEBRAS Page 1 Proceedings of the Edinburgh
Mathematical Society (2001) 44, 425–444 c EXACTNESS OF CUNTZ–PIMSNER C∗-ALGEBRAS …

We generalise various non-triviality conditions for group actions to Fell bundles over discrete
groups and prove several implications between them. We also study sufficient criteria for the …