A Fredholm operator approach to Morita equivalence

DOI10.1007/BF00961067zbMath0792.46051arXivfunct-an/9212005OpenAlexW2963826149MaRDI QIDQ1313092

Ruy Exel

Publication date: 21 July 1994

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9212005

zbMATH Keywords

Fredholm operatorimprimitivity bimodulegroup homomorphismleft-full Hilbert \(A\)-\(B\)-bimodulestrongly Morita equivalent \(C^*\)-algebras have isomorphic \(K\)-groups

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

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Cites Work

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• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Strong Morita equivalence of certain transformation group \(C^*\)-algebras
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• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Induced representations of C\(^*\)-algebras
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• K-Theory and Multipliers of Stable C ∗ -Algebras
• Inner Product Modules Over B ∗ -Algebras