Freeness and matrix decompositions

DOI10.1007/S11425-011-4323-5zbMath1247.46045OpenAlexW2014329024MaRDI QIDQ424869

Junhao Shen, Li Ming Ge

Publication date: 7 June 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4323-5

zbMATH Keywords

von Neumann algebrajoint distributionfactorfree semicircular elementssemicircular element

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10)

Cites Work

• Maximal injective subalgebras in factors associated with free groups
• On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
• Limit laws for random matrices and free products
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• R-cyclic families of matrices in free probability
• On free entropy dimension of finite von Neumann algebras.
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• On maximal injective subalgebras of factors
• On some decomposition properties for factors of type \(\text{II}_1\)
• Free Random Variables
• On the multiplication of free N -tuples of noncommutative random variables
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