TL;DR
This paper introduces iterated Leavitt path algebras linked to directed weighted graphs, extending classical Leavitt algebras and analyzing their grading properties.
Contribution
It defines a new class of iterated Leavitt path algebras associated with weighted graphs and characterizes strongly graded Leavitt path algebras.
Findings
Introduced iterated Leavitt path algebras for weighted graphs
Connected these algebras to classical Leavitt algebras L(1,n) and L(n,k)
Characterized when Leavitt path algebras are strongly graded
Abstract
Leavitt path algebras associate to directed graphs a -graded algebra and in their simplest form recover the Leavitt algebras L(1,n). In this note, we introduce iterated Leavitt path algebras associated to directed weighted graphs which have natural grading and in their simplest form recover the Leavitt algebras . We also characterize Leavitt path algebras which are strongly graded.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models