Simplicity, bounded normal generation, and automatic continuity of groups of unitaries
From MaRDI portal
Publication:2684541
DOI10.1016/j.aim.2023.108894OpenAlexW3193647755MaRDI QIDQ2684541
Publication date: 16 February 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09796
Automatic continuity (46H40) General theory of (C^*)-algebras (46L05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unitary groups as a complete invariant
- The infinite unitary and related groups are algebraically determined Polish groups
- Central sequence \(C^*\)-algebras and tensorial absorption of the Jiang-Su algebra
- Unitary orbits of self-adjoint operators in simple \(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras
- Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras
- Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
- Produits finis de commutateurs dans les \(C^*\)-algèbres
- Déterminant associé à une trace sur une algèbre de Banach
- Sur la simplicité essentielle du groupe des inversibles et du groupe unitaire dans une \(C^*\)-algèbre simple
- Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras
- Simplicity of the projective unitary groups defined by simple factors
- The automorphism group of the irrational rotation \(C^*\)-algebra
- Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
- Bounded normal generation and invariant automatic continuity
- \(C^*\)-algebras of stable rank one and their Cuntz semigroups
- Ranks of operators in simple \(C^*\)-algebras with stable rank one
- Every classifiable simple C\(^*\)-algebra has a Cartan subalgebra
- Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra
- Determinant rank of \(C^*\)-algebras
- Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
- The Dixmier property and tracial states for \(C^\ast\)-algebras
- Exponentials in simple \(\mathcal Z\)-stable \(C^\ast\)-algebras
- On the Lie structure of an associative ring
- Quelques propriétés globales des variétés différentiables
- Nuclear dimension of simple \(\mathrm{C}^*\)-algebras
- On the Lie ideals of $\Cstar$-algebras
- PROJECTIONS, COMMUTATORS AND LIE IDEALS IN <i>C</i><sup>*</sup>-ALGEBRAS
- The automorphism group of a simple $\mathcal {Z}$-stable $C^{*}$-algebra
- Quasitraces on exact C*-algebras are traces
- Sums of commutators in pure C*-algebras
- The cone of lower semicontinuous traces on a C*-algebra
- On Operator Commutators
- Dimension and Stable Rank in the K -Theory of C* -Algebras
- A topological version of the Bergman property
- Exponential length and exponential rank in C*-algebras
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- On the stable rank of simple C*-algebras
- How Many Exponentials?
- Finite sums of commutators
- THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
- Exponential length and traces
- Simple $C^*$-algebras with the property weak (FU).
- Bounded Normal Generation for Projective Unitary Groups of Certain Infinite Operator Algebras
- Bounded normal generation is not equivalent to topological bounded normal generation
- Nuclear dimension and sums of commutators
- The kernel of the determinant map on pure C*-algebras
- Infinite Unitary Groups
- Large scale geometry of Banach-Lie groups
- The structure of compact groups. A primer for the student -- a handbook for the expert
