3 papers
math.OA2026
A homological characterization of AF groupoids
Benjamin Steinberg
An ample groupoid is said to be AF if it is a directed union of compact open principal subgroupoids. In this paper, we provide a complete homological characterization of these grou…
math.GR2024
A Pride-Guba-Sapir exact sequence for the relation bimodule of an associative algebra
Benjamin Steinberg
Given a presentation of a monoid , combined work of Pride and of Guba and Sapir provides an exact sequence connecting the relation bimodule of the presentation (in the sense of…
math.RA2023
A note on projections in étale groupoid algebras and diagonal preserving homomorphisms
Benjamin Steinberg
Carlsen (Adv.~Math, 2018) showed that any -homomorphism between Leavitt path algebras over is automatically diagonal preserving and hence induces an isomorphism o…