Free probability on the limit \(C^\ast\)-algebra induced by a chain of graphs

Free probability and free operator algebras (46L54) General theory of linear operators (47A99) Directed graphs (digraphs), tournaments (05C20) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Free nonassociative algebras (17A50) Infinite graphs (05C63)

Cites Work

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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
Graph von Neumann algebras
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
Semicircular-like and semicircular laws on Banach \(*\)-probability spaces induced by dynamical systems of the finite adele ring \(A_{\mathbb{Q}}\)
The semicircular law of free probability as noncommutative multivariable operator theory
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
Characterization of amalgamated free blocks of a graph von Neumann algebra
Constructing a Laplacian on the Diamond Fractal
Free Random Variables
Iterated function systems, Ruelle operators, and invariant projective measures
Entropy encoding, Hilbert space, and Karhunen-Loève transforms
Entropies of Automorphisms of a Topological Markov Shift
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
A new look at the crossed-product of a C *-algebra by an endomorphism
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
Minimizing Effective Resistance of a Graph

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