Hereditary \(C^\ast\)-subalgebra lattices

DOI10.1016/j.aim.2015.07.027zbMath1346.46046arXiv1410.0093OpenAlexW2115728439MaRDI QIDQ887300

Tristan Bice, Charles A. Akemann

Publication date: 28 October 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0093

zbMATH Keywords

lattices\(C^\ast\)-algebrastype decomposition\(*\)-annihilatorshereditary \(C^\ast\)-subalgebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) Complete lattices, completions (06B23) General theory of (C^*)-algebras (46L05) Complemented lattices, orthocomplemented lattices and posets (06C15)

Related Items (1)

Gerbes over posets and twisted \(C^*\)-dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Type-decomposition of an effect algebra
• On bounded lattices satisfying Elkan's law
• Dimension functions and traces on C*-algebras
• Quantales and their sheaves
• Equivalence and traces on \(C^*\)-algebras
• Set theory. An introduction to independence proofs
• Pure states as a dual object for C*-algebras
• A prime \(C^{*}\)-algebra that is not primitive
• Lattices and ordered algebraic structures
• \(^\ast\)-Annihilators in proper \(^\ast\)-semigroups
• Type I \(C^ *\)-algebras
• The general Stone-Weierstrass problem
• Left ideal structure of \(C^*\)-algebras
• A Gelfand representation theory for \(C^ *\)-algebras
• Order ideals in a \(C^*\)-algebra and its dual
• Atomic orthocomplemented lattices
• Projections in Banach algebras
• Any orthocomplemented complete modular lattice is a continuous geometry
• Type decomposition in posets
• Frames and Locales
• The Order on Projections in \mathrmC^*-Algebras of Real Rank Zero
• Quantales and C∗-Algebras
• Spectrum of the Product of Operators
• The structure of multiplication and addition in simple $C^*$-algebras.
• A Theory of Types for Convex Sets and Ordered Banach Spaces
• CONTINUOUS–TRACE C*-ALGEBRAS NOT ISOMORPHIC TO THEIR OPPOSITE ALGEBRAS
• Filters in C^*-Algebras
• Two Subspaces
• Center of a complete lattice
• The Projection Calculus
• The $C^*$-algebra generated by two projections.

This page was built for publication: Hereditary \(C^\ast\)-subalgebra lattices