58 citations · 79 across the 8 of their papers we have counts for
8 papers
Limit curve theorems for incomplete metric spaces and the null distance on Lorentzian manifolds
Adam Rennie, Ben Whale
We prove a limit curve theorem for incomplete metric spaces. Our main application is to Sormani and Vegas' null distance, where our results give strong control on the Lorentzian le…
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…
Twisted Cyclic Cohomology and Modular Fredholm Modules
Adam Rennie, Andrzej Sitarz, Makoto Yamashita
Connes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515-526] that suitable cyclic cocycles can be represented as Chern characters of finitely summable semifinite Fredholm mod…
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…