R-diagonal pairs arising as free off-diagonal compressions

DOI10.1512/iumj.1996.45.1280zbMath0879.46031OpenAlexW2057688322MaRDI QIDQ5285265

Alexandru Nica

Publication date: 31 March 1997

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1996.45.1280

zbMATH Keywords

\(R\)-transform*-free family of elements\(R\)-diagonal pairsFock space modelfree off-diagonal compressiontracial \(C^*\)-probability space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Dilations, extensions, compressions of linear operators (47A20)

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Commutators of free random variables ⋮ R-cyclic families of matrices in free probability

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