13 citations · 13 across the 2 of their papers we have counts for
3 papers
math.FA2005★ 13 cited
The Noncommutative Geometry of Graph -Algebras I: The Index Theorem
David Pask, Adam Rennie
We investigate conditions on a graph -algebra for the existence of a faithful semifinite trace. Using such a trace and the natural gauge action of the circle on the graph alge…
math.OA2003
The Hochschild Class of the Chern Character For Semifinite Spectral Triples
A. Carey, J. Phillips, A. Rennie +1
We provide a proof of Connes' formula for a representative of the Hochschild class of the Chern character for (p,\infty)-summable spectral triples. Our proof is valid for all semif…
math-ph2001
Poincare Duality and Spin^c Structures for Noncommutative Manifolds
Adam Rennie
We prove a noncompact Serre-Swan theorem characterising modules which are sections of vector bundles not necessarily trivial at infinity. We then identify the endomorphism algebras…