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- Teresa Bates, Hee Kyung Hong, Iain Raeburn, Wojciech SzymaÂ´nski

We classify the gauge-invariant ideals in the C *-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge-invariantâ€¦ (More)

- Siegfried Echterhoff, S E Kaliszewski, John Quigg, Iain Raeburn
- 2002

Imprimitivity theorems provide a fundamental tool for studying the representation theory and structure of crossed-product C-algebras. In this work, we show that the Imprimitivity Theorem for inducedâ€¦ (More)

- Iain Raeburn
- 2000

We associate Câˆ—-algebras to infinite directed graphs that are not necessarily locally finite. By realizing these algebras as Cuntz-Krieger algebras in the sense of Exel and Laca, we are able to giveâ€¦ (More)

There has recently been much interest in the C *-algebras of directed graphs. Here we consider product systems E of directed graphs over semigroups and associated C *-algebras C * (E) and T C * (E)â€¦ (More)

We prove versions of the fundamental theorems about CuntzKrieger algebras for the Câˆ—-algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely many edges. Specialâ€¦ (More)

k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type. Here we develop the theory of coveringâ€¦ (More)

- Iain Raeburn
- 1997

A product system E over a semigroup P is a family of Hilbert spaces {Es : s âˆˆ P } together with multiplications EsÃ—Et â†’ Est. We view E as a unitary-valued cocycle on P , and consider twisted crossedâ€¦ (More)

- SIEGFRIED ECHTERHOFF, S E Kaliszewski, John Quigg, Iain Raeburn
- 2008

We show that induction of covariant representations for Câˆ—-dynamical systems is natural in the sense that it gives a natural transformation between certain crossed-product functors. This involvesâ€¦ (More)

- Marcelo Laca, Iain Raeburn

We show that the group Q â‹Š Q * + of orientation-preserving affine transformations of the rational numbers is quasi-lattice ordered by its subsemigroup N â‹Š N Ã—. The associated Toeplitz C *-algebra Tâ€¦ (More)

- Iain Raeburn
- 2006

We present a new proof of a theorem of Mallat which describes a construction of wavelets starting from a quadrature mirror filter. Our main innovation is to show how the scaling function associatedâ€¦ (More)