Magnus Goffeng

Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension

We show how the fine structure in shift-tail equivalence, appearing in the noncommutative geometry of Cuntz-Krieger algebras developed by the first two authors, has an analogue in a wide range of other Cuntz-Pimsner algebras. To illustrate this structure, and where it appears, we produce an unbounded representative of the defining extension of the Cuntz-Pimsner algebra constructed from a finitely generated projective bi-Hilbertian module, extending work by the third author with Robertson and Sims. As an application, our construction yields new spectral triples for Cuntz- and Cuntz-Krieger algebras and for Cuntz-Pimsner algebras associated to vector bundles twisted by equicontinuous

Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case

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The bordism group of unbounded KK-cycles

-automorphisms.

Clusters of eigenvalues for the magnetic Laplacian with Robin condition

Topological degrees of continuous mappings between oriented manifolds of even dimension are studied in terms of index theory of pseudo-differential operators. The index formalism of non-commutative geometry is used to derive analytic integral formulas for the index of a

Index formulas and charge deficiencies on the Landau levels

0

Relative geometric assembly and mapping cones, part I: the geometric model and applications: RELATIVE GEOMETRIC ASSEMBLY AND MAPPING CONES, PART I

th order pseudo-differential operator twisted by a Hölder continuous complex vector bundle. The index formula gives an analytic formula for the degree of a Hölder continuous mapping between even-dimensional oriented manifolds. The paper is an independent continuation of the paper Analytic formulas for topological degree of non-smooth mappings: the odd-dimensional case.

Spectral flow of exterior Landau-Robin hamiltonians

We consider Hilsums notion of bordism as an equivalence relation on unbounded

REALIZING THE ANALYTIC SURGERY GROUP OF HIGSON AND ROE GEOMETRICALLY, PART I: THE GEOMETRIC MODEL

KK