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Extending Cellular Cohomology to C ∗ -Algebras

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Publication:3991816
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DOI10.2307/2154081zbMath0754.46041OpenAlexW4231699435MaRDI QIDQ3991816

Ruy Exel, Terry A. Loring

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.2307/2154081

zbMATH Keywords

covariant functorMorita equivalentBott elementcategory of \(C^*\)-algebrasAtiyah-Hirzebruch \(K\)-functorfinite \(CW\)-complexesspherical cohomology functorstandard cohomology functorunital \(C^*\)- algebras


Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) (K)-theory and operator algebras (19K99) Categories, functors in functional analysis (46M15)


Related Items

Invariants of almost commuting unitaries, AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory, Cellular filtration of K-theory and determinants of $C^*$-algebras, Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras, Homotopy after tensoring with uniformly hyperfinite \(C^*\)-algebras, On locally AH algebras



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