On the geometry of the unit ball of a C*- algebra.

DOI10.1515/crll.1995.469.113zbMath0834.46041OpenAlexW3015440921MaRDI QIDQ4859248

Lawrence G. Brown, Gert Kjaergård Pedersen

Publication date: 1 April 1996

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002213184

zbMATH Keywords

extreme pointstrong Morita equivalence\(C^*\)-algebrasidealspolar decompositionstable rank onehereditary \(C^*\)-subalgebrasextreme point preserving direct limitsnon- stable \(K\)-theoretic properties of extremally rich \(C^*\)-algebrasset of quasi- invertibles

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05)

Related Items (22)

When almost multiplicative morphisms are close to homomorphisms ⋮ Linear maps between \(C^*\)-algebras preserving extreme points and strongly linear preservers ⋮ Unitary groups and augmented Cuntz semigroups of separable simple 𝒵-Stable C∗-algebras ⋮ Extreme points and retractions in Banach spaces ⋮ A projection-less approach to Rickart Jordan structures ⋮ Linear maps preserving regularity in \(C^*\)-algebras ⋮ Tracial approximation in simple -algebras ⋮ On JB-rings. ⋮ Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero ⋮ Crossed products by finite group actions with the Rokhlin property ⋮ The \(\lambda \)-function in the space of trace class operators ⋮ Non-stable \(K\)-theory and extremally rich \(C^\ast\)-algebras ⋮ Pullback and pushout constructions in \(C^*\)-algebra theory ⋮ Separative cancellation for projective modules over exchange rings ⋮ On the property $IR$ of Friis and Rørdam ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple ⋮ Projective spaces of a \(C^*\)-algebra ⋮ Simple stably projectionless C*-algebras with generalized tracial rank one ⋮ An infinite analogue of rings with stable rank one ⋮ (APD)–property of $C^*$–algebras by extensions of $C^*$–algebras with (APD) ⋮ The \(\lambda\)-function in \(JB^\ast\)-triples ⋮ Chebyshev subspaces of JBW\(^{\ast}\)-triples

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