Search Results - "Rennie, Adam"
-
1
The K-Theoretic Bulk–Edge Correspondence for Topological Insulators
Published in Annales Henri Poincaré (01-05-2017)“…We study the application of Kasparov theory to topological insulator systems and the bulk–edge correspondence. We consider observable algebras as modelled by…”
Get full text
Journal Article -
2
Abciximab for thrombolysis during intracranial aneurysm coiling
Published in Neuroradiology (01-12-2008)“…Introduction Thrombotic events are a common and severe complication of endovascular aneurysm treatment with significant impact on patients’ outcome. This study…”
Get full text
Journal Article -
3
The local index formula in semifinite Von Neumann algebras I: Spectral flow
Published in Advances in mathematics (New York. 1965) (01-06-2006)“…We generalise the local index formula of Connes and Moscovici to the case of spectral triples for a * -subalgebra A of a general semifinite von Neumann…”
Get full text
Journal Article -
4
Fatal hemorrhage after attempted treatment of a basilar artery stenosis: Case report
Published in Journal of neurosurgery (01-07-2009)“…Interventional treatment of severe intracranial stenoses using angioplasty and stent placement carries a significant risk of severe adverse events. These…”
Get full text
Journal Article -
5
Endovascular clot retrieval for acute ischaemic posterior circulation stroke in children: a new effective therapy?
Published in Developmental medicine and child neurology (01-10-2020)“…This commentary is on the case series by Macdonald‐Laurs et al. on pages 1221–1223of this issue…”
Get full text
Journal Article -
6
Levinson's theorem as an index pairing
Published in Journal of functional analysis (01-03-2024)Get full text
Journal Article -
7
The Friedrichs angle and alternating projections in Hilbert C⁎-modules
Published in Journal of mathematical analysis and applications (01-12-2022)“…Let B be a C⁎-algebra, X a Hilbert C⁎-module over B and M,N⊂X a pair of complemented submodules. We prove the C⁎-module version of von Neumann's alternating…”
Get full text
Journal Article -
8
Nonunital spectral triples and metric completeness in unbounded KK-theory
Published in Journal of functional analysis (01-11-2016)“…We consider the general properties of bounded approximate units in non-self-adjoint operator algebras. Such algebras arise naturally from the differential…”
Get full text
Journal Article -
9
Curvature and Weitzenböck formula for spectral triples
Published in Mathematische Nachrichten (09-10-2024)“…Abstract Using the Levi‐Civita connection on the noncommutative differential 1‐forms of a spectral triple , we define the full Riemann curvature tensor, the…”
Get full text
Journal Article -
10
A Cuntz-Pimsner model for the C⁎-algebra of a graph of groups
Published in Journal of mathematical analysis and applications (15-04-2021)“…We provide a Cuntz-Pimsner model for graph of groups C⁎-algebras. This allows us to compute the K-theory of a range of examples and show that graph of groups…”
Get full text
Journal Article -
11
Twisted Cyclic Cohomology and Modular Fredholm Modules
Published in Symmetry, integrability and geometry, methods and applications (01-01-2013)“…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…”
Get full text
Journal Article -
12
A prospective audit of 300 consecutive young women with an acute presentation of right iliac fossa pain
Published in Annals of the Royal College of Surgeons of England (01-03-2006)“…A prospective study of 300 women of child-bearing age presenting with right iliac fossa pain was carried out to determine what proportion had appendicitis and…”
Get full text
Journal Article -
13
The structure of the wave operator in four dimensions in the presence of resonances
Published in Letters in mathematical physics (19-10-2024)“…We show that the wave operators for Schrödinger scattering in R 4 have a particular form which depends on the existence of resonances. As a consequence of this…”
Get full text
Journal Article -
14
FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED $KK$ -THEORY
Published in Journal of the Australian Mathematical Society (2001) (01-10-2019)“…We provide sufficient conditions to factorise an equivariant spectral triple as a Kasparov product of unbounded classes constructed from the group action on…”
Get full text
Journal Article -
15
The Cuntz-Pimsner extension and mapping cone exact sequences
Published in Mathematica scandinavica (19-10-2019)“…For Cuntz-Pimsner algebras of bi-Hilbertian bimodules with finite Jones-Watatani index satisfying some side conditions, we give an explicit isomorphism between…”
Get full text
Journal Article -
16
Addendum to: “The Friedrichs angle and alternating projections in Hilbert C⁎-modules” [J. Math. Anal. Appl. 516 (2022) 126474]
Published in Journal of mathematical analysis and applications (01-06-2023)“…We show by (counter)example that the intersection of complemented submodules in a Hilbert C⁎-module is not necessarily complemented, answering the last open…”
Get full text
Journal Article -
17
FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY
Published in Journal of the Australian Mathematical Society (2001) (01-10-2019)“…We provide sufficient conditions to factorise an equivariant spectral triple as a Kasparov product of unbounded classes constructed from the group action on…”
Get full text
Journal Article -
18
Curvature of differentiable Hilbert modules and Kasparov modules
Published in Advances in mathematics (New York. 1965) (25-06-2022)“…In this paper we introduce the curvature of densely defined universal connections on Hilbert C⁎-modules relative to a spectral triple (or unbounded Kasparov…”
Get full text
Journal Article -
19
Splittings for $C^$-correspondences and strong shift equivalence
Published in Mathematica scandinavica (01-01-2024)“…We present an extension of the notion of in-splits from symbolic dynamics to topological graphs and, more generally, to $C^*$-correspondences. We demonstrate…”
Get full text
Journal Article -
20
Neurovascular Malformations in the Fetus and Neonate
Published in Neuroimaging clinics of North America (01-11-2024)“…Vein of Galen malformations are the most common congenital neurovascular malformation and are a type of choroidal arteriovenous fistula involving the midline…”
Get full text
Journal Article