activity
19942021
most citedProduct systems of graphs and the Toeplitz algebras of higher-rank graphs

76 citations · 490 across the 73 of their papers we have counts for

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Showing 2009Show all

5 papers · 1 filter

math.OA2009★ 5 cited

Periodic 2-graphs arising from subshifts

David Pask, Iain Raeburn, Natasha Weaver

Higher-rank graphs were introduced by Kumjian and Pask to provide models for higher-rank Cuntz-Krieger algebras. In a previous paper, we constructed 2-graphs whose path spaces are…

math.OA2009

Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions

Astrid an Huef, Iain Raeburn, Dana Williams

We consider two categories of C*-algebras; in the first, the isomorphisms are ordinary isomorphisms, and in the second, the isomorphisms are Morita equivalences. We show how these…

math.OA2009★ 14 cited

Exel's crossed product for non-unital C*-algebras

Nathan Brownlowe, Iain Raeburn, Sean T. Vittadello

We consider a family of dynamical systems (A,alpha,L) in which alpha is an endomorphism of a C*-algebra A and L is a transfer operator for α. We extend Exel's construction of a cro…

math.OA2009★ 7 cited

Fixed-point algebras for proper actions and crossed products by homogeneous spaces

Astrid an Huef, S. Kaliszewski, Iain Raeburn +1

We consider a fixed free and proper action of a locally compact group on a space , and actions $α:G\to \Aut A$ on -algebras for which there is an equivariant embedding…

math.OA2009

Phase transition on the Toeplitz algebra of the affine semigroup over the natural numbers

Marcelo Laca, Iain Raeburn

We show that the group of orientation-preserving affine transformations of the rational numbers is quasi-lattice ordered by its subsemigroup ${\…