KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space
- A. A. Huef, Marcelo Laca, I. Raeburn, A. Sims
- Mathematics
- 27 April 2014
Kumjian-Pask algebras of higher-rank graphs
- G. Pino, John Clark, A. A. Huef, I. Raeburn
- Mathematics
- 22 June 2011
We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras, and analyze their…
The ideal structure of Cuntz–Krieger algebras
- A. A. Huef, I. Raeburn
- MathematicsErgodic Theory and Dynamical Systems
- 1 June 1997
We construct a universal Cuntz–Krieger algebra ${\cal {AO}}_A$, which is isomorphic to the usual Cuntz–Krieger algebra ${\cal O}_A$ when $A$ satisfies condition $(I)$ of Cuntz and Krieger. The Cuntz…
Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces
- A. A. Huef, S. Kaliszewski, I. Raeburn
- Mathematics
- 13 September 2005
KMS states on the C∗-algebras of finite graphs
- A. A. Huef, Marcelo Laca, I. Raeburn, A. Sims
- Mathematics
- 10 May 2012
Purely infinite simple C*-algebras associated to integer dilation matrices
- R. Exel, A. A. Huef, I. Raeburn
- Mathematics
- 10 March 2010
Given an n x n integer matrix A whose eigenvalues are strictly greater than 1 in absolute value, let \sigma_A be the transformation of the n-torus T^n=R^n/Z^n defined by \sigma_A(e^{2\pi ix})=e^{2\pi…
KMS states on C⁎-algebras associated to higher-rank graphs☆
- A. A. Huef, Marcelo Laca, I. Raeburn, A. Sims
- Mathematics
- 31 December 2012
Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras
- L. O. Clark, Cain EDIE-MICHELL, A. A. Huef, A. Sims
- MathematicsTransactions of the American Mathematical Society
- 27 January 2016
We consider the ideal structure of Steinberg algebras over a commutative ring with identity. We focus on Hausdorff groupoids that are strongly effective in the sense that their reductions to closed…
Mansfield's imprimitivity theorem for arbitrary closed subgroups
- A. A. Huef, I. Raeburn
- Mathematics
- 7 May 2002
Let δ be a nondegenerate coaction of G on a C*-algebra B, and let H be a closed subgroup of G. The dual action δ: H → Aut(B × δ G) is proper and saturated in the sense of Rieffel, and the generalised…
KMS states on C*-algebras associated to local homeomorphisms
- Zahra Afsar, A. A. Huef, I. Raeburn
- Mathematics
- 24 February 2014
For every Hilbert bimodule over a C*-algebra, there are natural gauge actions of the circle on the associated Toeplitz algebra and Cuntz–Pimsner algebra, and hence natural dynamics obtained by…
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