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Oct 24, 2018
Quantum Algebra
Differential Geometry
Operator Algebras

The resolvent trace, or equivalently the heat trace, expansion for second order Laplace type operators goes back at least to Minakshisundaram and Pleijel [MiPl49]. Via Karamata’s tauberian theorem there is a connection to the eigenvalue counting fun…

Modular Gaussian curvature

We review the state of the art of our understanding of the conformal geometry of the irrational rotation algebra. This was sparked by a paper by Cohe…
Mar 28, 2008
Differential Geometry
Functional Analysis

The Calderon Projection: New Definition and Applications

We consider an arbitrary linear elliptic first--order differential operator A with smooth coefficients acting between sections of complex vector bund…
Jul 12, 2011
Operator Algebras
Functional Analysis

Let us consider a Hilbert C∗–module E over some C∗–algebra \sA. Furthermore, let S and T be two selfadjoint and regular operators with domains \dom(S)\suE and \dom(T)\suE respectively. The main purpose of this section is then to study the selfadjoin…

A local global principle for regular operators in Hilbert C*-modules

Hilbert C*-modules are the analogues of Hilbert spaces where a C*-algebra plays the role of the scalar field. With the advent of Kasparov's celebrate…
Dec 30, 2010
Spectral Theory
Analysis of PDEs
Differential Geometry
Functional Analysis

Perturbation of Sectorial Projections of Elliptic Pseudo-differential…

Over a closed manifold, we consider the sectorial projection of an elliptic pseudo-differential operator A of positive order with two rays of minimal…
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