Rings and C*-algebras generated by commutators

DOI10.1016/J.JALGEBRA.2024.08.020MaRDI QIDQ6639796

Eusebio Gardella, Hannes Thiel

Publication date: 18 November 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

commutatorscommutativity\(C^{\ast}\)-algebras

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) (K_0) as an ordered group, traces (19K14)

Cites Work

• Title not available (Why is that?)
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• Products of matrices with prescribed nullities and traces
• AF-embeddings into \(C^*\)-algebras of real rank zero
• Group algebras acting on \(L^p\)-spaces
• The operator factorization problems
• Equivalence and traces on \(C^*\)-algebras
• Jordan ideals revisited.
• Commutators and images of noncommutative polynomials
• Additive subgroups generated by noncommutative polynomials
• Multilinear polynomials are surjective on algebras with surjective inner derivations
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• A modern look at algebras of operators on \(L^p\)-spaces
• Representations of étale groupoids on \(L^p\)-spaces
• Introduction to noncommutative algebra.
• On the Lie structure of an associative ring
• Lie structure of prime rings of characteristic 2
• Harmonic synthesis for subgroups
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• The Waring problem for matrix algebras
• Traces, ultrapowers and the Pedersen-Petersen \(C^*\)-algebras
• On the Lie ideals of \(C^\ast\)-algebras
• Divisibility properties for \(C^{\ast}\)-algebras
• Commutators in Division Rings
• Commutator rings
• Lie ideals: from pure algebra to C*-algebras
• Closed Lie Ideals in Operator Algebras
• Elements of trace zero that are not commutators
• Finite sums of commutators
• Representations of $p$-convolution algebras on $L^q$-spaces
• Isomorphisms of algebras of convolution operators
• On the subring generated by commutators
• STRUCTURE OF NUCLEAR C*-ALGEBRAS: FROM QUASIDIAGONALITY TO CLASSIFICATION AND BACK AGAIN
• Nuclear dimension and sums of commutators
• The generator problem for $\mathcal {Z}$-stable $C^*$-algebras
• Concerning the Commutator Subgroup of a Ring
• Ideals in a $C^*$-Algebra.
• The Waring problem for matrix algebras, II
• Prime ideals in \(C^*\)-algebras and applications to Lie theory
• Rigidity results for \(L^p\)-operator algebras and applications

Related Items (1)

C*-algebras hereditarily containing nonzero, square-zero elements

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