3 papers
math.RA2021
A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings
Simon W. Rigby, Thibaud van den Hove
We give a one-to-one correspondence between ideals in the Steinberg algebra of a Hausdorff ample groupoid , and certain families of ideals in the group algebras of isotropy grou…
math.RA2021
The Allison-Faulkner construction of
Victor Petrov, Simon W. Rigby
We show that the Tits index cannot be obtained by means of the Tits construction over a field with no odd degree extensions. We construct two cohomological invariants,…
math.RA2018
The groupoid approach to Leavitt path algebras
Simon W. Rigby
When the theory of Leavitt path algebras was already quite advanced, it was discovered that some of the more difficult questions were susceptible to a new approach using topologica…