B. Mesland

activity

20092026

K

-theory and correspondences in noncommutative geometry

98 citations · 341 across the 35 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.KT2016

Hecke operators in KK-theory and the K-homology of Bianchi groups

Bram Mesland, Mehmet Haluk Sengun

Let $Γ$ be a torsion-free arithmetic group acting on its associated global symmetric space $X$ . Assume that $X$ is of non-compact type and let $Γ$ act on the geodesic boundary $\pa…

math.OA2016

Spectral triples on $O_{N}$

Magnus Goffeng, Bram Mesland

We give a construction of an odd spectral triple on the Cuntz algebra $O_{N}$ , whose $K$ -homology class generates the odd $K$ -homology group $K^{1} (O_{N})$ . Using a metric measure sp…

math.KT2016★ 8 cited

Boundaries, spectral triples and K-homology

Iain Forsyth, Magnus Goffeng, Bram Mesland +1

This paper extends the notion of a spectral triple to a relative spectral triple, an unbounded analogue of a relative Fredholm module for an ideal $J ◃ A$ . Examples incl…

math.DS2016★ 14 cited

Wieler solenoids, Cuntz-Pimsner algebras and K-theory

Robin J. Deeley, Magnus Goffeng, Bram Mesland +1

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…

Hecke operators in KK-theory and the K-homology of Bianchi groups

Spectral triples on ON​

Boundaries, spectral triples and K-homology

Wieler solenoids, Cuntz-Pimsner algebras and K-theory

Spectral triples on $O_{N}$