Applications of automata and graphs: Labeling operators in Hilbert space. II.

DOI10.1063/1.3141524zbMath1293.46034arXiv0809.4625OpenAlexW2807764442MaRDI QIDQ3069126

Palle E. T. Jorgensen, Ilwoo Cho

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4625

zbMATH Keywords

automata theoryHilbert spacesgraph theorygroup theorysampling methodsmathematical operators

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of von Neumann algebras (46L10) Dynamical aspects of cellular automata (37B15) General theory of linear operators (47A99) Infinite graphs (05C63) Linear spaces and algebras of operators (47L99)

Related Items (3)

Diagram groupoids and von Neumann algebras ⋮ Moment computations for graphs with fractal property ⋮ Fractal property in \(B(H)\) induced by partial isometries

Cites Work

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• Characteristic vectors of bordered matrices with infinite dimensions
• Graph von Neumann algebras
• Measures on graphs and groupoid measures
• \(C^{*}\)-algebras generated by partial isometries
• Finitely correlated states on quantum spin chains
• Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
• Finitely correlated pure states
• \(q\)-canonical commutation relations and stability of the Cuntz algebra
• Characterization of amalgamated free blocks of a graph von Neumann algebra
• Processes on unimodular random networks
• Constructing a Laplacian on the Diamond Fractal
• HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE
• GROUP-FREENESS AND CERTAIN AMALGAMATED FREENESS
• Entropy encoding, Hilbert space, and Karhunen-Loève transforms
• Entropies of Automorphisms of a Topological Markov Shift
• The spectrum of infinite regular line graphs
• An Introduction to Symbolic Dynamics and Coding
• The Group Fixed by a Family of Injective Endomorphisms of a Free Group
• DIRECT PRODUCTED W^*-PROBABILITY SPACES AND CORRESPONDING AMALGAMATED FREE STOCHASTIC INTEGRATION
• On Determinants and a Property of the Trace in Finite Factors

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