13 citations · 48 across the 15 of their papers we have counts for
15 papers
Spectral flow for real skew-adjoint Fredholm operators
Alan L. Carey, John Phillips, Hermann Schulz-Baldes
An analytic definition of a -valued spectral flow for paths of real skew-adjoint Fredholm operators is given. It counts the parity of the number of changes in the ori…
Centre-valued index for Toeplitz operators with noncommuting symbols
John Phillips, Iain Raeburn
We consider an action of the real line on a C*-algebra for which there is a centre-valued invariant trace. We define a family of Toeplitz operators with symbols in the original alg…
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…
Families of Type {\rm III KMS} States on a Class of -Algebras containing and
A. L. Carey, J. Phillips, I. F. Putnam +1
We construct a family of purely infinite -algebras, for that are classified by their -groups. There is an action of the circle $\T$ with a uniq…
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…