Operators Induced by Graphs
Ilwoo Cho, Palle E. T. Jorgensen
TL;DR
This paper investigates graph operators within von Neumann algebras generated by graph groupoids, focusing on their algebraic properties such as self-adjointness, unitarity, hyponormality, and normality.
Contribution
It provides characterizations of key properties of finitely supported graph operators, advancing understanding of their algebraic structure in operator algebras.
Findings
Characterization of self-adjointness of graph operators
Criteria for unitarity of graph operators
Conditions for hyponormality and normality
Abstract
In this paper, we consider certain elements in von Neumann algebras generated by graph groupoids. In particular, we are interested in finitely supported elements, called graph operators. We study the characterizations for self-adjointness, the unitary property, hyponormality and normality of graph operators.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models