Ideals in Hilbert modules and invariants under strong Morita equivalence of C*-algebras

DOI10.1007/BF01899246zbMath0498.46034MaRDI QIDQ1171253

Heinrich H. Zettl

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

classificationspectrumrepresentationspure statesHilbert modulestrace idealsCCRGCR-idealshomeomorphic liftingideals in Hilbert modulesinvariants under strong Morita equivalence of C*-algebrasmaximal regular left idealsNGCR-quotients

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Ideals and subalgebras (46H10)

Related Items (6)

Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra ⋮ Graded Hilbert C*-modules ⋮ Ideal submodules and topologically complementable submodules of Hilbert C*-modules ⋮ Order structures, traces and weights on Morita equivalent C*-algebras ⋮ Properties preserved under Morita equivalence of 𝐂*-algebras ⋮ On injectivity and nuclearity for operator spaces

Cites Work

• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Induced representations of C\(^*\)-algebras
• Modules over commutative Banach algebras
• Inner Product Modules Over B ∗ -Algebras

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