132 citations · 222 across the 18 of their papers we have counts for
25 papers
Ergodic Average Dominance for Unimodular Amenable Groups
Ujan Chakraborty, Runlian Xia, Joachim Zacharias
In this paper we show that the ergodic averages of the action of any unimodular amenable group along certain Følner sequences can be dominated by the Cesàro means of a suitably con…
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…
A geometric representative for the fundamental class in KK-duality of Smale spaces
D. M. Gerontogiannis, Michael F. Whittaker, Joachim Zacharias
A fundamental ingredient in the noncommutative geometry program is the notion of KK-duality, often called K-theoretic Poincaré duality, that generalises Spanier-Whitehead duality.…
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…
Kirchberg--Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case
Chris Cave, Joachim Zacharias
We show that in order to prove that every second countable locally compact groups with exact reduced group C*-algebra is exact in the dynamical sense (i.e. KW-exact) it suffices to…