Quantum even-dimensional balls
Colin MacLaurin
TL;DR
This paper introduces quantum even-dimensional balls as $C^*$-algebras generated by graphs, providing a polynomial algebra model and classifying their irreducible representations.
Contribution
It presents a polynomial algebra framework for quantum even-dimensional balls and classifies their irreducible representations, advancing understanding of their algebraic structure.
Findings
Polynomial algebra models for quantum even-dimensional balls
Complete classification of irreducible representations
Enhanced understanding of the algebraic structure of quantum balls
Abstract
The quantum even-dimensional balls are defined as the -algebras generated by certain graphs. We exhibit a polynomial algebra for each even-dimensional quantum ball, and classify the irreducible representations of it.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models