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7 papers · 1 filter
Realizing ultragraph Leavitt path algebras as Steinberg algebras
R. Hazrat, T. G. Nam
In this article, we realize ultragraph Leavitt path algebras as Steinberg algebras. This realization allows us to use the groupoid approach to obtain structural results about these…
The talented monoid of a Leavitt path algebra
Roozbeh Hazrat, Huanhuan Li
There is a tight relation between the geometry of a directed graph and the algebraic structure of a Leavitt path algebra associated to it. In this note, we show a similar connectio…
Graded Steinberg algebras and partial actions
Roozbeh Hazrat, Huanhuan Li
Given a graded ample Hausdorff groupoid, we realise its graded Steinberg algebra as a partial skew inverse semigroup ring. We use this to show that for a partial action of a discre…
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…
The dynamics of Leavitt path algebras
R. Hazrat
Recently it was shown that the notion of flow equivalence of shifts of finite type in symbolic dynamics is related to the Morita theory and the Grothendieck group in the theory of…
Multiple Commutator Formulas for Unitary Groups
Roozbeh Hazrat, Nikolai Vavilov, Zuhong Zhang
Let $(\FormR)$ be a form ring such that is quasi-finite -algebra (i.e., a direct limit of module finite algebras) with identity. We consider the hyperbolic Bak's unitary gro…