47 citations · 169 across the 62 of their papers we have counts for
5 papers · 2 filters
Applications of normal forms for weighted Leavitt path algebras: simple rings and domains
Roozbeh Hazrat, Raimund Preusser
Weighted Leavitt path algebras (wLpas) are a generalisation of Leavitt path algebras (with graphs of weight 1) and cover the algebras constructed by Leavitt. Using…
Baer and Baer *-ring characterizations of Leavitt path algebras
Roozbeh Hazrat, Lia Vas
We characterize Leavitt path algebras which are Rickart, Baer, and Baer -rings in terms of the properties of the underlying graph. In order to treat non-unital Leavitt path alge…
K-theory Classification of Graded Ultramatricial Algebras with Involution
Roozbeh Hazrat, Lia Vas
We consider a generalization of the standard Grothendieck group of a graded ring with involution. If is an abelian group, we show that…
Recollements, sinks elimination and Leavitt path algebras
Roozbeh Hazrat, Ju Huang
For Leavitt path algebras, we show that whereas removing sources from a graph produces a Morita equivalence, removing sinks gives rise to a recollement situation. In general, we sh…
Reconstruction of graded groupoids from graded Steinberg algebras
Pere Ara, Joan Bosa, Roozbeh Hazrat +1
We show how to reconstruct a graded ample Hausdorff groupoid with topologically principal neutrally graded component from the ring structure of its graded Steinberg algebra over an…