8 citations · 21 across the 15 of their papers we have counts for
10 papers · 1 filter
Semiclassical Weyl law and exact spectral asymptotics in noncommutative geometry
Edward McDonald, Fedor Sukochev, Dmitriy Zanin
We prove a Tauberian theorem for singular values of noncommuting operators which allows us to prove exact asymptotic formulas in noncommutative geometry at a high degree of general…
Local invariants of non-commutative tori
Fedor Sukochev, Dmitriy Zanin
We consider a generic curved non-commutative torus extending the notion of conformally deformed non-commutative torus from \cite{Connes-Tretkoff}. In general, a curved non-commutat…
BMO-estimates for non-commutative vector valued Lipschitz functions
Martijn Caspers, Marius Junge, Fedor Sukochev +1
We construct Markov semi-groups and associated BMO-spaces on a finite von Neumann algebra and obtain results for perturbations of commutators and n…
Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators
Alain Connes, Galina Levitina, Edward McDonald +2
We introduce the notion of a pre-spectral triple, which is a generalisation of a spectral triple where is no longer required to be self-adjoint, but close…
A -algebraic approach to the principal symbol II
Fedor Sukochev, Edward McDonald, Dmitriy Zanin
We introduce an abstract theory of the principal symbol mapping for pseudodifferential operators extending the results of a preceding paper and providing a simple algebraic approac…
The Connes character formula for locally compact spectral triples
Fedor Sukochev, Dmitriy Zanin
A fundamental tool in noncommutative geometry is Connes' character formula. This formula is used in an essential way in the applications of noncommutative geometry to index theory…