40 citations · 183 across the 41 of their papers we have counts for
7 papers · 1 filter
Constructing C*-diagonals in AH-algebras
Xin Li, Ali Imad Raad
We construct Cartan subalgebras and hence groupoid models for classes of AH-algebras. Our results cover all AH-algebras whose building blocks have base spaces of dimension at most…
Semigroup C*-algebras arising from graphs of monoids
Cheng Chen, Xin Li
We study groupoids and semigroup C*-algebras arising from graphs of monoids, in the setting of right LCM monoids. First, we establish a general criterion when a graph of monoids gi…
Left regular representations of Garside categories II. Finiteness properties of topological full groups
Xin Li
We study topological full groups attached to groupoid models for left regular representations of Garside categories. Groups arising in this way include Thompson's group and man…
Left regular representations of Garside categories I. C*-algebras and groupoids
Xin Li
We initiate the study of C*-algebras and groupoids arising from left regular representations of Garside categories, a notion which originated from the study of Braid groups. Every…
Co-universality and controlled maps on product systems over right LCM-semigroups
Evgenios T. A. Kakariadis, Elias G. Katsoulis, Marcelo Laca +1
We study the structure of C*-algebras associated with compactly aligned product systems over group embeddable right LCM-semigroups. Towards this end we employ controlled maps and a…
The ideal intersection property for essential groupoid C*-algebras
Matthew Kennedy, Se-Jin Kim, Xin Li +2
We characterise, in several complementary ways, étale groupoids with locally compact Hausdorff space of units whose essential groupoid C*-algebra has the ideal intersection propert…