359 citations
- Australian National UniversityAU211 papers
- Chongqing UniversityCN12 papers
- International Centre for Radio Astronomy ResearchAU12 papers
- Curtin UniversityAU11 papers
- The University of MelbourneAU9 papers
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- Centre National de la Recherche ScientifiqueFR8 papers
- La Trobe UniversityAU7 papers
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- Max Planck Institute for AstrophysicsDE6 papers
5 papers · 1 filter
The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. The proof is a…
The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow
Alan L. Carey, John Phillips, Adam Rennie +1
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 algebra. In this setting it…
Exact convergence rate and leading term in central limit theorem for student's t statistic
Peter Hall, Qiying Wang
The leading term in the normal approximation to the distribution of Student's t statistic is derived in a general setting, with the sole assumption being that the sampled distribut…
On the relationship of gerbes to the odd families index theorem
Alan L. Carey, Bai-Ling Wang
The goal of this paper is to apply the universal gerbe of \cite{CMi1} and \cite{CMi2} to give an alternative, simple and more unified view of the relationship between index theory…
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…