Free-product Banach algebras induced by scaled hypercomplex numbers

DOI10.1007/s11785-024-01590-6MaRDI QIDQ6622538

Ilwoo Cho

Publication date: 22 October 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

free probabilitygroup \(C^\ast\)-algebrasscaled hypercomplex numbersscaled-hypercomplex groups

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

• Einstein's equations and Clifford algebra
• On the eigenvalues of quaternion matrices
• Free Random Variables
• Hyperbolic Geometry on a Hyperboloid
• Foundations of Hyperbolic Manifolds
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• Matrix groups
• Regular functions on the scaled hypercomplex numbers
• Operators induced by certain hypercomplex systems
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