54 citations · 64 across the 6 of their papers we have counts for
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math.OA2006
The Dixmier trace and asymptotics of zeta functions
A. L. Carey, A. Rennie, A. Sedaev +1
We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the trace of the heat semigroup. We prove our r…
math.OA2006
The Chern Character of Semifinite Spectral Triples
Alan L. Carey, John Phillips, Adam Rennie +1
In previous work we generalised both the odd and even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von…
math.OA2006★ 54 cited
Reconstruction of manifolds in noncommutative geometry
Adam Rennie, Joseph C. Varilly
We show that the algebra A of a commutative unital spectral triple (A,H,D) satisfying several additional conditions, slightly stronger than those proposed by Connes, is the algebra…