5 citations · 10 across the 7 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…
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…
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 $(…