Minimal primal ideals in Banach algebras
From MaRDI portal
Publication:4299870
DOI10.1017/S0305004100071905zbMath0818.46054MaRDI QIDQ4299870
Publication date: 1 August 1995
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
prime idealprimal idealextremally disconnected in the hull-kernel topologyinseparable \(C^*\)- algebra with a primal ideal which does not contain a prime idealspace of minimal prime ideals is compact
Related Items
Unnamed Item, Countability properties of the ideal space of a Banach algebra and \(D\)-algebras, Topologies on the ideal space of a Banach algebra and spectral synthesis
Cites Work
- Unnamed Item
- Convex and pseudoprime ideals in rings of continuous functions
- A Stone-Weierstrass theorem for \(C^*\)-algebras
- Space of minimal prime ideals of a ring without nilpotent elements
- Reticulated rings
- A general theory of structure spaces with applications to spaces of prime ideals
- A Non-Trivial, Strongly Regular Uniform Algebra
- Spectral spacess and non-commutative rings
- The Minimal Primal Ideal Space of a C*-Algebra and Local Compactness
- The Space of Minimal Prime Ideals of C(X) Need Not Be Basically Disconnected
- Minimal Prime Ideals in Commutative Semigroups
- Topologies for Primal Ideals
- The Space of Minimal Prime Ideals of a Commutative Ring
- The Maximal GCR Ideal in an AW ∗ -Algebra
- Commutators in Properly Infinite Von Neumann Algebras
- Semiprime Banach Algebras
- A unified theory of minimal prime ideals