The semicircular law of free probability as noncommutative multivariable operator theory
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Publication:2062297
DOI10.1007/s43036-021-00163-0zbMath1490.46064OpenAlexW3205948704MaRDI QIDQ2062297
Ilwoo Cho, Palle E. T. Jorgensen
Publication date: 27 December 2021
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-021-00163-0
Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Noncommutative probability and statistics (46L53) Graph representations (geometric and intersection representations, etc.) (05C62) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Free nonassociative algebras (17A50)
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- On free stochastic processes and their derivatives
- Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\)
- Fractal property in \(B(H)\) induced by partial isometries
- \(C^{*}\)-subalgebras generated by a single operator in \(B(H)\)
- Graph von Neumann algebras
- \(C^{*}\)-algebras generated by partial isometries
- Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
- Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
- \(q\)-canonical commutation relations and stability of the Cuntz algebra
- Free resolutions in multivariable operator theory.
- Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\)
- Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces
- \(C^*\)-categories, groupoid actions, equivariant \(KK\)-theory, and the Baum--Connes conjecture
- Noncommutative multivariable operator theory
- Histories distorted by partial isometries
- Purely atomic representations of higher-rank graph \(C^*\)-algebras
- Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view
- Banach-space operators acting on semicircular elements induced by orthogonal projections
- Constructing a Laplacian on the Diamond Fractal
- Free Random Variables
- Computational and Statistical Group Theory
- Iterated function systems, Ruelle operators, and invariant projective measures
- A new look at the crossed product of aC*-algebra by a semigroup of endomorphisms
- Entropy encoding, Hilbert space, and Karhunen-Loève transforms
- NONSTANDARD ANALYSIS, FRACTAL PROPERTIES AND BROWNIAN MOTION
- Entropies of Automorphisms of a Topological Markov Shift
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- On bilateral weighted shifts in noncommutative multivariable operator theory
- You can see the arrows in a quiver operator algebra
- 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
- Monic representations of finite higher-rank graphs
- Quantum symmetry of graph $C^{\ast }$-algebras at\cr critical inverse temperature
- Resistance Boundaries of Infinite Networks
- Minimizing Effective Resistance of a Graph