25 citations · 152 across the 42 of their papers we have counts for
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Operator-valued pseudo-differential operators and the twisted index pairing
Magnus Goffeng
The notion of pseudo-differential operators with coefficients in a continuous trace algebra over a manifold are introduced and their index theory is studied. The algebra of princip…
Analytic formulas for topological degree of non-smooth mappings: the even-dimensional case
Magnus Goffeng
Topological degrees of continuous mappings between manifolds of even dimension are studied in terms of index theory of pseudo-differential operators. The index formalism of non-com…
Analytic formulas for topological degree of non-smooth mappings: the odd-dimensional case
Magnus Goffeng
The notion of topological degree is studied for mappings from the boundary of a relatively compact strictly pseudo-convex domain in a Stein manifold into a manifold in terms of ind…
The Pimsner-Voiculescu sequence for coactions of compact Lie groups
Magnus Goffeng
The Pimsner-Voiculescu sequence is generalized to a Pimsner-Voiculescu tower describing the -category equivariant with respect to coactions of a compact Lie group satisfying th…
A remark on twists and the notion of torsion-free discrete quantum groups
Magnus Goffeng
In this paper twists of reduced locally compact quantum groups are studied. Twists of the dual coaction on a reduced crossed product are introduced and the twisted dual coactions a…
Index formulas and charge deficiencies on the Landau levels
Magnus Goffeng
The notion of charge deficiency from Avron, Seiler, Simon (Charge deficiency, charge transport and comparison of dimensions, Comm. Math. Phys. 159) is studied from the view of …