74 citations · 652 across the 48 of their papers we have counts for
7 papers · 1 filter
Shift tail equivalence and an unbounded representative of the Cuntz-Pimsner extension
Magnus Goffeng, Bram Mesland, Adam Rennie
We show how the fine structure in shift-tail equivalence, appearing in the noncommutative geometry of Cuntz-Krieger algebras developed by the first two authors, has an analogue in…
A noncommutative framework for topological insulators
Chris Bourne, Alan L. Carey, Adam Rennie
We study topological insulators, regarded as physical systems giving rise to topological invariants determined by symmetries both linear and anti-linear. Our perspective is that of…
Factorisation of equivariant spectral triples in unbounded KK-theory
Iain Forsyth, Adam Rennie
We provide sufficient conditions to factorise an equivariant spectral triple as a Kasparov product of unbounded classes constructed from the group action on the algebra and from th…
Nonunital spectral triples and metric completeness in unbounded KK-theory
Bram Mesland, Adam Rennie
By considering the general properties of approximate units in differentiable algebras, we are able to present a unified approach to characterising completeness of spectral metric s…
Indefinite Kasparov modules and pseudo-Riemannian manifolds
Koen van den Dungen, Adam Rennie
We present a definition of indefinite Kasparov modules, a generalisation of unbounded Kasparov modules modelling non-symmetric and non-elliptic (e.g. hyperbolic) operators. Our mai…
Groupoid Fell bundles for product systems over quasi-lattice ordered groups
Adam Rennie, David Robertson, Aidan Sims
Consider a product system over the positive cone of a quasi-lattice ordered group. We construct a Fell bundle over an associated groupoid so that the cross-sectional algebra of the…