Minimal boundaries for operator algebras
From MaRDI portal
Publication:6115058
DOI10.1090/btran/154arXiv2208.05919MaRDI QIDQ6115058
Raphaël Clouâtre, Ian M. Thompson
Publication date: 12 July 2023
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.05919
Banach algebras of continuous functions, function algebras (46J10) Noncommutative function spaces (46L52) States of selfadjoint operator algebras (46L30) Representations of (nonselfadjoint) operator algebras (47L55)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Duality, convexity and peak interpolation in the Drury-Arveson space
- Operator algebras with contractive approximate identities
- Irreducible representations of inseparable \(C^*\)-algebras
- A minimal boundary for function algebras
- The representations of linear functionals by measures on sets of extreme points
- The Choquet boundary of an operator system
- Injective envelopes of operator systems
- Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
- Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity
- The noncommutative Choquet boundary. II: Hyperrigidity
- Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules]
- Operator algebras with contractive approximate identities. II
- Dilation theory in finite dimensions and matrix convexity
- The general Stone-Weierstrass problem
- Approximate units and maximal Abelian \(C^*\)-subalgebras
- Subalgebras of \(C^ *\)-algebras
- Subalgebras of C\(^*\)-algebras. II
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Closed projections and peak interpolation for operator algebras
- Noncommutative peak interpolation revisited
- The noncommutative Choquet boundary
- The noncommutative Choquet Boundary III
- Boundary Representations and Tensor Products of C ∗ -Algebras
- Extremal Matrix States on Operator Systems
- Non-commutative peaking phenomena and a local version of the hyperrigidity conjecture
- Elements of -algebras Attaining their Norm in a Finite-dimensional Representation
- One-sided ideals and approximate identities in operator algebras
- Gelfand transforms and boundary representations of complete Nevanlinna–Pick quotients
- Finite Dimensionality in the Non-commutative Choquet Boundary: Peaking Phenomena and C*-Liminality
- Strongly Peaking Representations and Compressions of Operator Systems
- Boundary representations and pure completely positive maps
- Boundary Representations on C ∗ -Algebras with Matrix Units
- Lectures on Choquet's theorem
- Non-commutative measure theory: Henkin and analytic functionals on \(\mathrm{C}^*\)-algebras
This page was built for publication: Minimal boundaries for operator algebras