A random matrix approach to the lack of projections in \(C_{\mathrm {red}}^{\ast}(\mathbb F_2)\)
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Publication:2496711
DOI10.1016/j.aim.2005.05.008zbMath1109.15020arXivmath/0412545OpenAlexW2019129224MaRDI QIDQ2496711
Hanne Schultz, Steen Thorbjørnsen, Uffe Haagerup
Publication date: 20 July 2006
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412545
Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05) Random matrices (algebraic aspects) (15B52)
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Cites Work
- K-theory for certain group \(C^*\)-algebras
- Limit laws for random matrices and free products
- No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
- Exact separation of eigenvalues of large dimensional sample covariance matrices
- Mixed moments of Voiculescu's Gaussian random matrices
- Non-commutative polynomials of independent Gaussian random matrices. The real and symplectic cases.
- The \(K\)-groups of the \(C^*\)-algebra of a semicircular family
- A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
- Free Random Variables
- Idempotents in the Reduced C ∗ -Algebra of a Free Group
- Computing norms of free operators with matrix coefficients
- K-theoretic amenability for discrete groups.
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