The cone of lower semicontinuous traces on a C*-algebra
From MaRDI portal
Publication:3091763
DOI10.1353/ajm.2011.0027zbMath1236.46052arXiv0805.3122OpenAlexW2106554665MaRDI QIDQ3091763
Leonel Robert, George A. Elliott, Luis Santiago
Publication date: 14 September 2011
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.3122
General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30)
Related Items (55)
Real rank zero for purely infinite corona algebras ⋮ Unitary groups and augmented Cuntz semigroups of separable simple 𝒵-Stable C∗-algebras ⋮ Nonamenable simple -algebras with tracial approximation ⋮ The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras ⋮ The classification of Rokhlin flows on \(\mathrm{C}^*\)-algebras ⋮ Fixed points in convex cones ⋮ Ranks of operators in simple \(C^*\)-algebras with stable rank one ⋮ On classification of nonunital amenable simple \(C^\ast\)-algebras. III: The range and the reduction ⋮ A systematic approach for invariants of $C^*$-algebras ⋮ A bivariant theory for the Cuntz semigroup ⋮ Chaotic tracial dynamics ⋮ The Global Glimm Property ⋮ Finite approximation properties of \(C^*\)-modules. III ⋮ Soft operators in C*-algebras ⋮ Simplicity, bounded normal generation, and automatic continuity of groups of unitaries ⋮ Cones of traces arising from AF \(C^\ast\)-algebras ⋮ Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras ⋮ Hereditary uniform property \(\Gamma\) ⋮ Commutators in \(C^\ast\)-algebras and traces ⋮ Colored isomorphism of classifiable C-algebras ⋮ Tracial oscillation zero and \(\mathcal{Z}\)-stability ⋮ Nowhere scattered \(C^{\ast}\)-algebras ⋮ The Cuntz semigroup and domain theory ⋮ Purely infinite corona algebras and extensions ⋮ The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension ⋮ Regularity for stably projectionless, simple \(C^\ast\)-algebras ⋮ On invariants of \(\mathrm C^{\ast}\)-algebras with the ideal property ⋮ Fixed-points in the cone of traces on a $C^{\ast }$-algebra ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ On the unitary group of the multiplier algebra\cr of the Razak algebra ⋮ Equivariant property (SI) revisited ⋮ Unitary orbits of self-adjoint operators in simple \(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras ⋮ Majorization in C*-algebras ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras ⋮ The Cuntz semigroup and the radius of comparison of the crossed product by a finite group ⋮ The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras ⋮ The Cuntz semigroup and comparison of open projections ⋮ Recovering the Elliott invariant from the Cuntz semigroup ⋮ Weak topologies and compactness in asymmetric functional analysis ⋮ Classification of inductive limits of 1-dimensional NCCW complexes ⋮ Equivariant \(\ast\)-homomorphisms, Rokhlin constraints and equivariant UHF-absorption ⋮ Stabilising uniform property $\Gamma $ ⋮ REMARKS ON -STABLE PROJECTIONLESS C*-ALGEBRAS ⋮ Model theory of 𝐶*-algebras ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras ⋮ Edwards' condition for quasitraces on C*-algebras ⋮ \(C^*\)-algebras of stable rank one and their Cuntz semigroups ⋮ A revised augmented Cuntz semigroup ⋮ Properly infinite corona algebras ⋮ An algebraic approach to the radius of comparison ⋮ Permanence of weak comparison for large subalgebras ⋮ Remarks on some simple $C^*$-algebras admitting a unique lower semicontinuous 2-quasitrace ⋮ Simple stably projectionless C*-algebras with generalized tracial rank one
This page was built for publication: The cone of lower semicontinuous traces on a C*-algebra
