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math.KT2023
KK-duality for self-similar groupoid actions on graphs
Nathan Brownlowe, Alcides Buss, Daniel Gonçalves +3
We extend Nekrashevych's -duality for -algebras of regular, recurrent, contracting self-similar group actions to regular, contracting self-similar groupoid actions on a gr…
math.KT2019
Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras
Paolo Antonini, Alcides Buss, Alexander Engel +1
We strengthen a result of Hanke-Schick about the strong Novikov conjecture for low degree cohomology by showing that their non-vanishing result for the maximal group C*-algebra hol…