Toeplitz Operators in Hilbert Space over Graphs
Ilwoo Cho, Palle E. T. Jorgensen
TL;DR
This paper explores the mathematical relationship between Toeplitz operators and von Neumann algebras generated by graph groupoids, advancing the theoretical understanding of operator algebras in graph-based structures.
Contribution
It establishes a novel connection between Toeplitz operators and graph groupoid von Neumann algebras, expanding the theoretical framework in operator algebra research.
Findings
Identifies a new relation between Toeplitz operators and graph groupoid von Neumann algebras.
Provides a theoretical foundation for analyzing operators on graph-based structures.
Enhances understanding of the algebraic structures associated with graphs.
Abstract
In this paper, we consider the relation between Toeplitz operators and elements in von Neumann algebras generated by certain graph groupoids.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Holomorphic and Operator Theory