58 citations · 79 across the 8 of their papers we have counts for
4 papers · 1 filter
Index theory for locally compact noncommutative geometries
A. Carey, V. Gayral, A. Rennie +1
Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over non…
Spectral flow invariants and twisted cyclic theory from the Haar state on SU_q(2)
A. L. Carey, A. Rennie, K. Tong
In [CPR2], we presented a K-theoretic approach to finding invariants of algebras with no non-trivial traces. This paper presents a new example that is more typical of the generic s…
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…
An Analytic Approach to Spectral Flow in von Neumann Algebras
M-T. Benameur, A. L. Carey, J. Phillips +3
The analytic approach to spectral flow is about ten years old. In that time it has evolved to cover an ever wider range of examples. The most critical extension was to replace Fred…