98 citations · 341 across the 35 of their papers we have counts for
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math.KT2015★ 25 cited
Shift tail equivalence and an unbounded representative of the Cuntz-Pimsner extension
Magnus Goffeng, Bram Mesland, Adam Rennie
We show how the fine structure in shift-tail equivalence, appearing in the noncommutative geometry of Cuntz-Krieger algebras developed by the first two authors, has an analogue in…
math.OA2015★ 46 cited
Nonunital spectral triples and metric completeness in unbounded KK-theory
Bram Mesland, Adam Rennie
By considering the general properties of approximate units in differentiable algebras, we are able to present a unified approach to characterising completeness of spectral metric s…
math.KT2015
The bordism group of unbounded KK-cycles
Robin J. Deeley, Magnus Goffeng, Bram Mesland
We consider Hilsum's notion of bordism as an equivalence relation on unbounded -cycles and study the equivalence classes. Upon fixing two -algebras, and a -subalgebra d…