47 citations · 169 across the 62 of their papers we have counts for
8 papers · 1 filter
Higher-rank graphs and the graded -theory of Kumjian-Pask algebras
Roozbeh Hazrat, Promit Mukherjee, David Pask +1
This paper lays out the foundations of graded -theory for Leavitt algebras associated with higher-rank graphs, also known as Kumjian-Pask algebras, establishing it as a potentia…
Homology of étale groupoids, a graded approach
Roozbeh Hazrat, Huanhuan Li
We introduce a graded homology theory for graded étale groupoids. For -graded groupoids, we establish an exact sequence relating the graded zeroth-homology to non-graded…
Graded Steinberg algebras and their representations
Pere Ara, Roozbeh Hazrat, Huanhuan Li +1
We study the category of left unital graded modules over the Steinberg algebra of a graded ample Hausdorff groupoid. In the first part of the paper, we show that this category is i…
Homogeneous SK1 of simple graded algebras
R. Hazrat, A. R. Wadsworth
For a simple graded algebra A=M_n(E) over a graded division algebra E, a short exact sequence relating the reduced Whitehead group of the homogeneous part of A to that of E is esta…
On Quillen's calculation of graded -theory
R. Hazrat, T. Huettemann
We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This…
On Graded Simple Algebras
R. Hazrat, J. Millar
This note begins by observing that a graded central simple algebra, graded by an abelian group, is a graded Azumaya algebra and it is free over its centre. For a graded Azumaya alg…