Acting semicircular elements induced by orthogonal projections on von-Neumann-algebras

DOI10.3390/math5040074zbMath1398.46053OpenAlexW2775221851MaRDI QIDQ1649069

Ilwoo Cho

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040074

zbMATH Keywords

projectionsvon Neumann algebrasfree probabilitysemicircular elementsaffiliated free filterizationsBanach \(*\)-probability spacesfree filterizations

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Related Items (7)

Comparing Banach Spaces for Systems of Free Random Variables Followed by the Semicircular Law ⋮ Multi Variable Semicircular Processes From ∗-Homomorphisms and Operators ⋮ Free random variables followed by the semicircular law ⋮ Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view ⋮ Group dynamical systems on \(C^*\)-algebras generated by countable infinitely many semicircular elements ⋮ Banach-space operators acting on semicircular elements induced by orthogonal projections ⋮ Free Poisson Elements Induced by Orthogonal Projections

Cites Work

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• Representations and corresponding operators induced by Hecke algebras
• Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\)
• Free probability theory. Papers from a workshop on random matrices and operator algebra free products, Toronto, Canada, Mars 1995
• Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
• Free Random Variables
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory

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