12 citations · 20 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Spectral flow and Dixmier traces
Alan L Carey, John Phillips, Fyodor Sukochev
We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the heat operator in a general semi-finite von…
Quantum Hall Effect and Noncommutative Geometry
A. Carey, K. Hannabuss, V. Mathai
We study magnetic Schrodinger operators with random or almost periodic electric potentials on the hyperbolic plane, motivated by the quantum Hall effect in which the hyperbolic geo…
On unbounded p-summable Fredholm modules
Alan L Carey, John Phillips, Fyodor Sukochev
We prove that odd unbounded p-summable Fredholm modules are also bounded p-summable Fredholm modules (this is the odd counterpart of a result of A. Connes for the case of even Fred…