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math.KT2019
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 …
math.KT2019
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…
math.KT2013★ 6 cited
Spectral triples and KK-theory: A survey
Bram Mesland
This survey deals with the construction of a category of spectral triples that is compatible with the Kasparov product in -theory. These notes serve as an intuitive guide to th…