scientific article; zbMATH DE number 7318754

zbMath1471.46052MaRDI QIDQ4965626

Robert J. Archbold, Douglas W. B. Somerset

Publication date: 9 March 2021

Full work available at URL: https://www.math.uh.edu/~hjm/restricted/pdf46(1)/07archbold.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

ultrapowermultiplier algebra\(C_0(X)\)-algebraprimal ideal$F$-space$p$-pointinner corona

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Banach algebras of continuous functions, function algebras (46J10) (C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35) Rings and algebras of continuous, differentiable or analytic functions (46E25) (P)-spaces (54G10) Decomposition theory for (C^*)-algebras (46L45)

Cites Work

• Norms of inner derivations for multiplier algebras of \(C^*\)-algebras and group \(C^*\)-algebras
• The structure of algebras of operator fields
• Prime ideals in rings of continuous functions. II
• Approximate identities and factorization in Banach modules
• Minimal primal ideals in rings and Banach algebras
• Minimal primal and Glimm ideal spaces of group \(C^*\)-algebras
• Separation properties in the primitive ideal space of a multiplier algebra
• A characterization of \(C^ *\)-algebras whose conjugate spaces are separable
• Multipliers of C -algebras
• Minimal Primal Ideals in the Multiplier Algebra of a C 0(X)-algebra
• Ideals in the multiplier and corona algebras of a C ₀ (X )-algebra
• SPECTRAL SYNTHESIS IN THE MULTIPLIER ALGEBRA OF A C0(X)-ALGEBRA
• The Inner Corona Algebra of a C₀(X)-Algebra
• Quasi-standard C*-algebras
• Minimal primal ideals in Banach algebras
• A Stone-\v{C}ech Theorem for $C_0(X)$-algebras
• Topologies for Primal Ideals
• The Space of Minimal Prime Ideals of a Commutative Ring
• A unified theory of minimal prime ideals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item