1 citations · 1 across the 3 of their papers we have counts for
5 papers
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 in Fredholm modules, eta invariants and the JLO cocycle
Alan L. Carey, John Phillips
We give a comprehensive account of an analytic approach to spectral flow along paths of self-adjoint Breuer-Fredholm operators in a type or von Neumann alg…
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…
Unbounded Fredholm Operators and Spectral Flow
Bernhelm Booss-Bavnbek, Matthias Lesch, John Phillips
We study the gap (= "projection norm" = "graph distance") topology of the space of (not necessarily bounded) self--adjoint Fredholm operators in a separable Hilbert space by the Ca…
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…