132 citations · 222 across the 18 of their papers we have counts for
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The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups
Joan Bosa, Francesc Perera, Jianchao Wu +1
We develop a theory of general quotients for W- and Cu-semigroups beyond the case of quotients by ideals. To this end, we introduce the notion of a normal pair, which allows us to…
The Cuntz-Toeplitz algebras have nuclear dimension one
Philip Easo, Esperanza Garijo, Sarunas Kaubrys +12
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Classification of tiling -algebras
Luke J. Ito, Michael F. Whittaker, Joachim Zacharias
We prove that Kellendonk's -algebra of an aperiodic and repetitive tiling with finite local complexity is classifiable by the Elliott invariant. Our result follows from showin…
The Fubini product and its applications
Otgonbayar Uuye, Joachim Zacharias
The Fubini product of operator spaces provide a powerful tool for analysing properties of tensor products. In this paper we review the the theory of Fubini products and apply it to…
A Bivariant Theory for the Cuntz Semigroup
Joan Bosa, Gabriele Tornetta, Joachim Zacharias
We introduce a bivariant version of the Cuntz semigroup as equivalence classes of order zero maps generalizing the ordinary Cuntz semigroup. The theory has many properties formally…
Spectral Metric Spaces on Extensions of C*-Algebras
Andrew Hawkins, Joachim Zacharias
We construct spectral triples on C*-algebraic extensions of unital C*-algebras by stable ideals satisfying a certain Toeplitz type property using given spectral triples on the quot…