Publications (33)
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory
Chris Bourne, Alan L. Carey, Adam Rennie
The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow
Alan L. Carey, John Phillips, Adam Rennie +1
Nonunital spectral triples and metric completeness in unbounded KK-theory
Bram Mesland, Adam Rennie
Groupoid Fell bundles for product systems over quasi-lattice ordered groups
Adam Rennie, David Robertson, Aidan Sims
The K-theory of Heegaard quantum lens spaces
Piotr M. Hajac, Adam Rennie, Bartosz Zielinski
The $K$-theoretic bulk-edge correspondence for topological insulators
Chris Bourne, Johannes Kellendonk, Adam Rennie
The extension class and KMS states for Cuntz--Pimsner algebras of some bi-Hilbertian bimodules
Adam Rennie, David Robertson, Aidan Sims
Generalised time functions and finiteness of the Lorentzian distance
Adam Rennie, Ben E. Whale
The Noncommutative Geometry of Graph $C^*$-Algebras I: The Index Theorem
David Pask, Adam Rennie
Factorisation of equivariant spectral triples in unbounded KK-theory
Iain Forsyth, Adam Rennie
KK-theory and Spectral Flow in von Neumann Algebras
Jens Kaad, Ryszard Nest, Adam Rennie
Riemannian manifolds in noncommutative geometry
Steven Lord, Adam Rennie, Joseph C. Varilly
The global properties of the finiteness and continuity of the Lorentzian distance
Adam Rennie, Ben Whale
Poincare Duality and Spin^c Structures for Noncommutative Manifolds
Adam Rennie
Semifinite spectral triples associated with graph C*-algebras
Alan Carey, John Phillips, Adam Rennie
Constructing KMS states from infinite-dimensional spectral triples
Magnus Goffeng, Adam Rennie, Alexandr Usachev
The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
Alan L. Carey, John Phillips, Adam Rennie +1
A noncommutative framework for topological insulators
Chris Bourne, Alan L. Carey, Adam Rennie
Groupoid algebras as Cuntz-Pimsner algebras
Adam Rennie, David Robertson, Aidan Sims
Indefinite Kasparov modules and pseudo-Riemannian manifolds
Koen van den Dungen, Adam Rennie
Non-Commutative Vector Bundles for Non-Unital Algebras
Adam Rennie, Aidan Sims
Modular Index Invariants of Mumford Curves
Alan Carey, Matilde Marcolli, Adam Rennie
Noncommutative manifolds from graph and $k$-graph $C^*$-algebras
David Pask, Adam Rennie, Aidan Sims
Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases
Chris Bourne, Adam Rennie
The Chern Character of Semifinite Spectral Triples
Alan L. Carey, John Phillips, Adam Rennie +1
Pseudo-Riemannian spectral triples and the harmonic oscillator
Koen van den Dungen, Mario Paschke, Adam Rennie
Twisted Cyclic Cohomology and Modular Fredholm Modules
Adam Rennie, Andrzej Sitarz, Makoto Yamashita
The Noncommutative Geometry of k-graph C*-Algebras
David Pask, Adam Rennie, Aidan Sims
The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podles sphere
Adam Rennie, Roger Senior
Twisted cyclic theory, equivariant KK theory and KMS States
Alan L. Carey, Sergey Neshveyev, Ryszard Nest +1
Reconstruction of manifolds in noncommutative geometry
Adam Rennie, Joseph C. Varilly
Orbifolds are not commutative geometries
Adam Rennie, Joseph C. Varilly
A residue formula for the fundamental Hochschild 3-cocycle for SUq(2)
Ulrich Kraehmer, Adam Rennie, Roger Senior