$P(\omega)/{\rm fin}$ and projections in the Calkin algebra

DOI10.1090/S0002-9939-07-09093-4zbMath1128.03045arXivmath/0702309OpenAlexW2907006977MaRDI QIDQ5431682

Eric Wofsey

Publication date: 20 December 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702309

zbMATH Keywords

consistencyHilbert spaceorthogonal projections

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Consistency and independence results (03E35)

Related Items (9)

A model of quotient spaces ⋮ Rigidity conjectures for continuous quotients ⋮ Can you take Akemann-Weaver's \(\diamondsuit_{\aleph_1}\) away? ⋮ MAD families of projections on \(l^{2}\) and real-valued functions on \(\omega \) ⋮ Gaps in the poset of projections in the Calkin algebra ⋮ An extension of compact operators by compact operators with no nontrivial multipliers ⋮ Forcing axioms and coronas of C∗-algebras ⋮ MADNESS IN VECTOR SPACES ⋮ A nonstable 𝐶*-algebra with an elementary essential composition series

Cites Work

• Set theory. An introduction to independence proofs
• Maximal nests in the Calkin algebra
• Short complete nested sequences in βN⧹N and small maximal almost-disjoint families

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