9 citations · 29 across the 7 of their papers we have counts for
7 papers
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…
Endomorphisms of B(H), extensions of pure states, and a class of representations of O_n
Neal Fowler, Marcelo Laca
Let F_n be the fixed-point algebra of the gauge action of the circle on the Cuntz algebra O_n. For every pure state ρof F_n and every representation θof C(T) we construct a represe…
Discrete product systems and twisted crossed products by semigroups
N. Fowler, I. Raeburn
A product system E over a semigroup P is a family of Hilbert spaces {E_s:s\in P} together with multiplications E_s \times E_t\to E_{st}. We view E as a unitary- valued cocycle on P…