5 citations · 10 across the 7 of their papers we have counts for
7 papers
Fiberwise amenability of étale groupoids
Xin Ma, Jianchao Wu
We introduce a new amenability property for étale groupoids, termed \textit{fiberwise amenability}, along with a stronger variant termed \emph{ubiquitous fiberwise amenability}. (U…
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…
Almost elementary groupoid models for -algebras
Xin Ma, Jianchao Wu
The notion of almost elementariness for a locally compact Hausdorff étale groupoid with a compact unit space was introduced by the authors as a sufficient condition e…
Almost elementary étale groupoids
Xin Ma, Jianchao Wu
Motivated by Matui and Kerr's work on almost finiteness, we introduce a new finite approximation property for (possibly non-ample) étale groupoids called {almost elementariness}, w…
Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph
Elizabeth Gillaspy, Jianchao Wu
We use category-theoretic techniques to provide two proofs showing that for a higher-rank graph , its cubical (co-)homology and categorical (co-)homology groups are isomorphic i…
The Asymptotic Dimension of Box Spaces for Elementary Amenable Groups
Martin Finn-Sell, Jianchao Wu
We show that the asymptotic dimension of box spaces behaves (sub)additively with respect to extensions of groups. As a result, we obtain that for an elementary amenable group, the…
Ergodic invariant states and irreducible representations of crossed product -algebras
Huichi Huang, Jianchao Wu
Motivated by reformulating Furstenberg's conjecture via representations of a crossed product -algebra, we show that in a discrete -dynamical system $(…