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

- Magnus Goffeng
- Mathematics
- 7 April 2010

Spectral triples and finite summability on Cuntz-Krieger algebras

- Magnus Goffeng, B. Mesland
- Mathematics
- 9 January 2014

We produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz-Krieger algebras by means of realizing these algebras as "the algebra of functions on a non-commutative space"… Expand

On the magnitude function of domains in Euclidean space

- H. Gimperlein, Magnus Goffeng
- Mathematics
- 21 June 2017

We study Leinster's notion of magnitude for a compact metric space. For a smooth, compact domain $X\subset \mathbb{R}^{2m-1}$, we find geometric significance in the function $\mathcal{M}_X(R) =… Expand

Realizing the analytic surgery group of Higson and Roe geometrically part II: relative $$\eta $$η-invariants

- R. Deeley, Magnus Goffeng
- Mathematics
- 21 March 2014

We apply the geometric analog of the analytic surgery group of Higson and Roe to the relative $$\eta $$η-invariant. In particular, by solving a Baum–Douglas type index problem, we give a “geometric”… Expand

Clusters of eigenvalues for the magnetic Laplacian with Robin condition

- Magnus Goffeng, Ayman Kachmar, M. Sundqvist
- Mathematics
- 4 June 2014

We study the Schrodinger operator with a constant magnetic field in the exterior of a compact domain in Euclidean space. Functions in the domain of the operator are subject to a boundary condition of… Expand

Realizing the analytic surgery group of Higson and Roe geometrically, part I: the geometric model

- R. Deeley, Magnus Goffeng
- Mathematics
- 27 August 2013

We construct a geometric analog of the analytic surgery group of Higson and Roe for the assembly mapping for free actions of a group with values in a Banach algebra completion of the group algebra.… Expand

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

- Magnus Goffeng, B. Mesland, A. Rennie
- MathematicsErgodic Theory and Dynamical Systems
- 10 December 2015

We show how the fine structure in shift–tail equivalence, appearing in the non-commutative geometry of Cuntz–Krieger algebras developed by the first two listed authors, has an analogue in a wide… Expand

Wieler solenoids, Cuntz–Pimsner algebras and $K$ -theory

- R. Deeley, Magnus Goffeng, B. Mesland, Michael F. Whittaker
- MathematicsErgodic Theory and Dynamical Systems
- 17 June 2016

We study irreducible Smale spaces with totally disconnected stable sets and their associated $K$ -theoretic invariants. Such Smale spaces arise as Wieler solenoids, and we restrict to those arising… Expand

Index formulas and charge deficiencies on the Landau levels

- Magnus Goffeng
- Physics, Mathematics
- 2 February 2010

The notion of charge deficiency by Avron et al. [“Charge deficiency, charge transport and comparison of dimensions,” Commun. Math. Phys. 159, 399 (1994) ] is studied from the view of K-theory of… Expand

The bordism group of unbounded KK-cycles

- R. Deeley, Magnus Goffeng, B. Mesland
- MathematicsJournal of Topology and Analysis
- 25 March 2015

We consider Hilsum’s notion of bordism as an equivalence relation on unbounded [Formula: see text]-cycles and study the equivalence classes. Upon fixing two [Formula: see text]-algebras, and a… Expand

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