13 citations · 61 across the 12 of their papers we have counts for
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math.KT2007★ 13 cited
A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory
A. L. Carey, J. Phillips, A. Rennie
We investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a noncommutative geometry setting framed in terms of Kasparov modules. We use a mapping cone construction to r…
math.OA2007★ 6 cited
Semifinite spectral triples associated with graph C*-algebras
Alan Carey, John Phillips, Adam Rennie
We review the recent construction of semifinite spectral triples for graph C^*-algebras. These examples have inspired many other developments and we review some of these such as th…
math.OA2007★ 3 cited
Operator integrals, spectral shift and spectral flow
N. A. Azamov, A. L. Carey, P. G. Dodds +1
We present a new and simple approach to the theory of multiple operator integrals that applies to unbounded operators affiliated with general von Neumann algebras. For semifinite v…