4 papers · 1 filter
Discrete product systems of finite-dimensional Hilbert spaces, and generalized Cuntz algebras
Neal J. Fowler
To each discrete product system E of finite-dimensional Hilbert spaces we associate a C*-algebra O_E. When E is the n-dimensional product system over N, O_E is the Cuntz algebra O_…
Discrete product systems of Hilbert bimodules
Neal J. Fowler
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\in P} of Hilbert…
Compactly-aligned discrete product systems, and generalizations of O_\infty
Neal J. Fowler
The universal C*-algebras of discrete product systems generalize the Toeplitz- Cuntz algebras and the Toeplitz algebras of discrete semigroups. We consider a semigroup P which is q…
The Toeplitz algebra of a Hilbert bimodule
Neal J. Fowler, Iain Raeburn
Suppose a C*-algebra A acts by adjointable operators on a Hilbert A-module X. Pimsner constructed a C*-algebra O_X which includes, for particular choices of X, crossed products of…