13 citations · 48 across the 15 of their papers we have counts for
4 papers · 1 filter
Spectral flow for nonunital spectral triples
A. Carey, V. Gayral, J. Phillips +2
We prove two results about nonunital index theory left open by [CGRS2]. The first is that the spectral triple arising from an action of the reals on a C*-algebra with invariant tra…
Twisted cyclic theory and an index theory for the gauge invariant KMS state on Cuntz algebras
A. L. Carey, J. Phillips, A. Rennie
This paper presents, by example, an index theory appropriate to algebras without trace. Whilst we work exclusively with the Cuntz algebras the exposition is designed to indicate ho…
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…
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…