58 citations · 189 across the 10 of their papers we have counts for
10 papers
Analytic index theory and spectral flow in real Hilbert -modules
Chris Bourne, Alan L. Carey, Koen van den Dungen +1
We consider the analytic index and spectral flow of Fredholm operators on Hilbert -modules. Our spaces and algebras are equipped with a real structure, so the analytic index a…
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…
Universal measurability and the Hochschild class of the Chern character
A. Carey, A. Rennie, F. Sukochev +1
We study notions of measurability for singular traces, and characterise universal measurability for operators in Dixmier ideals. This measurability result is then applied to improv…
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…
Differential Twisted K-theory and Applications
Alan L. Carey, Jouko Mickelsson, Bai-Ling Wang
In this paper, we develop differential twisted K-theory and define a twisted Chern character on twisted K-theory which depends on a choice of connection and curving on the twisting…