University of Wollongong

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20022009

most citedEffect of carbon nanotube doping on critical current density of MgB2 superconductor

192 citations

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20 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

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

Marcelo Laca, Iain Raeburn

We show that the group $Q ⋊ Q_{+}^{*}$ of orientation-preserving affine transformations of the rational numbers is quasi-lattice ordered by its subsemigroup ${\…

math.OA2009★ 2 cited

Graphs of $C^{*}$ -correspondences and Fell bundles

Valentin Deaconu, Alex Kumjian, David Pask +1

We define the notion of a $Λ$ -system of $C^{*}$ -correspondences associated to a higher-rank graph $Λ$ . Roughly speaking, such a system assigns to each vertex of $Λ$ a $C^{*}$ -algebra,…

math.OA2008★ 2 cited

Naturality of Rieffel's Morita equivalence for proper actions

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

Suppose that a locally compact group $G$ acts freely and properly on the right of a locally compact space $T$ . Rieffel proved that if $α$ is an action of $G$ on a $C^{*}$ -algebra $A$ …

math.OA2008

Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras

Takeshi Katsura, Aidan Sims, Mark Tomforde

We give various necessary and sufficient conditions for an AF-algebra to be isomorphic to a graph C*-algebra, an Exel-Laca algebra, and an ultragraph C*-algebra. We also explore co…

math.OA2008★ 5 cited

The co-universal C*-algebra of a row-finite graph

Aidan Sims

Let E be a row-finite directed graph. We prove that there exists a C*-algebra C*_{min}(E) with the following co-universal property: given any C*-algebra B generated by a Toeplitz-C…