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Morita Equivalence and Continuous-Trace $C^*$-Algebras

- I. Raeburn, D. Williams
- Mathematics
- 3 August 1998

The algebra of compact operators Hilbert $C^*$-modules Morita equivalence Sheaves, cohomology, and bundles Continuous-trace $C^*$-algebras Applications Epilogue: The Brauer group and group actions… Expand

Twisted crossed products of C *-algebras

- J. Packer, I. Raeburn
- Mathematics
- 1 September 1989

Group algebras and crossed products have always played an important role in the theory of C *-algebras, and there has also been considerable interest in various twisted analogues, where the… Expand

CUNTZ-KRIEGER ALGEBRAS OF DIRECTED GRAPHS

- A. Kumjian, D. Pask, I. Raeburn
- Mathematics
- 1 May 1998

We associate to each row-nite directed graph E a universal Cuntz-Krieger C-algebra C(E), and study how the distribution of loops in E aects the structure of C(E) .W e prove that C(E) is AF if and… Expand

Graphs, Groupoids, and Cuntz–Krieger Algebras

- A. Kumjian, D. Pask, I. Raeburn, J. Renault
- Mathematics
- 1 March 1997

We associate to each locally finite directed graphGtwo locally compact groupoidsGandG(★). The unit space ofGis the space of one–sided infinite paths inG, andG(★) is the reduction ofGto the space of… Expand

Representations of Cuntz-Pimsner algebras

- N. Fowler, P. Muhly, I. Raeburn
- Mathematics
- 2003

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

The ideal structure of the $C\sp *$-algebras of infinite graphs

- T. Bates, J. Hong, I. Raeburn, W. Szymański
- Mathematics
- 20 September 2001

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-invariant… Expand

THE C -ALGEBRAS OF ROW-FINITE GRAPHS

- T. Bates, D. Pask, I. Raeburn
- Mathematics
- 2000

NSKI Abstract. We prove versions of the fundamental theorems about Cuntz-Krieger algebras for the C -algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely many… Expand

HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS

- I. Raeburn, A. Sims, Trent Yeend
- Mathematics
- Proceedings of the Edinburgh Mathematical Society
- 31 July 2001

Abstract We consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz–Krieger algebras. We describe a variant of the Cuntz–Krieger relations which applies to… Expand

Semigroup Crossed Products and the Toeplitz Algebras of Nonabelian Groups

- Marcelo Laca, I. Raeburn
- Mathematics
- 1 August 1996

Abstract We consider the quasi-lattice ordered groups ( G , P ) recently introduced by Nica. We realise their universal Toeplitz algebra as a crossed product B P ⋊ P by a semigroup of endomorphisms,… Expand

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