98 citations · 341 across the 35 of their papers we have counts for
6 papers · 1 filter
Gauge theory on noncommutative Riemannian principal bundles
Branimir Ćaćić, Bram Mesland
We present a new, general approach to gauge theory on principal -spectral triples, where is a compact connected Lie group. We introduce a notion of vertical Riemannian geome…
Toeplitz extensions in noncommutative topology and mathematical physics
Francesca Arici, Bram Mesland
We review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov's bivariant K-theory. We then discuss the recent applications of Toeplitz algebr…
Curvature of differentiable Hilbert modules and Kasparov modules
Bram Mesland, Adam Rennie, Walter D. van Suijlekom
In this paper we introduce the curvature of densely defined universal connections on Hilbert -modules relative to a spectral triple (or unbounded Kasparov module), obtaining…
Homotopy equivalence in unbounded KK-theory
Koen van den Dungen, Bram Mesland
We propose a new notion of unbounded -cycle, mildly generalising unbounded Kasparov modules, for which the direct sum is well-defined. To a pair of -unital …
A K-theoretic Selberg trace formula
Bram Mesland, Mehmet Haluk Sengun, Hang Wang
Let G be a semisimple Lie group and H a uniform lattice in G. The Selberg trace formula is an equality arising from computing in two different ways the traces of convolution operat…
Untwisting twisted spectral triples
Magnus Goffeng, Bram Mesland, Adam Rennie
We examine the index data associated to twisted spectral triples and higher order spectral triples. In particular, we show that a Lipschitz regular twisted spectral triple can alwa…