Resolvents of $\mathscr{R}$-diagonal operators

DOI10.1090/S0002-9947-2010-05140-2zbMath1209.46040arXiv0811.3125MaRDI QIDQ3056579

Todd Kemp, Roland Speicher, Uffe Haagerup

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3125

zbMATH Keywords

resolvent\(\mathcal R\)-diagonal operator\(\mathcal R\)-transformpartition structure diagrams

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Related Items (2)

\({\mathcal{R}}\)-diagonal dilation semigroups ⋮ Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach

Cites Work

• Unnamed Item
• Unnamed Item
• Enumeration of non-crossing pairings on bit strings
• \({\mathcal{R}}\)-diagonal dilation semigroups
• Invariant subspaces for operators in a general \(\text{II}_{1}\)-factor
• An example of a non nuclear C*-algebra, which has the metric approximation property
• The free analogue of noncentral chi-square distributions and symmetric quadratic forms in free random variables
• Maximality of the microstates free entropy for \(R\)-diagonal elements
• Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
• Polygon dissections and Euler, Fuss, Kirkman, and Cayley numbers
• Continuous family of invariant subspaces for \(R\)-diagonal operators
• Commutators of free random variables
• The \(K\)-groups of the \(C^*\)-algebra of a semicircular family
• Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements
• Computation of some examples of Brown's spectral measure in free probability
• Lectures on the Combinatorics of Free Probability
• Brown measures of unbounded operators affiliated with a finite von Neumann algebra
• $R$-diagonal pairs - a common approach to Haar unitaries and circular elements

This page was built for publication: Resolvents of $\mathscr{R}$-diagonal operators