A note on asymptotic homomorphisms

DOI10.1007/BF00961401zbMath0821.19003OpenAlexW2084206071MaRDI QIDQ1344251

Marius Dǎdǎrlat

Publication date: 25 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf00961401

zbMATH Keywords

homotopy categorystable homotopynon-periodicstable cohomotopyasymptotic homomorphismshomology for \(C^*\)-algebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Kasparov theory ((KK)-theory) (19K35)

Related Items

Equivariant \(E\)-theory for groupoids acting on \(C^{\ast}\)-algebras ⋮ Colocalizations of noncommutative spectra and bootstrap categories ⋮ E-theory for \(C^*\)-algebras over topological spaces ⋮ Berezin quantization and \(K\)-homology ⋮ Deformations of nilpotent groups and homotopy symmetric \(C^*\)-algebras ⋮ Asymptotic homomorphisms and equivariant \(KK\)-theory ⋮ Noncommutative stable homotopy and stable infinity categories ⋮ Strongly asymptotic morphisms on separable metrisable algebras ⋮ Representable \(E\)-theory for \(C_0(X)\)-algebras ⋮ On the asymptotic homotopy type of inductive limit \(C^*\)-algebras

Cites Work

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• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• The role of 𝐾-theory in noncommutative algebraic topology
• Shape theory for $C^*$-algebras.
• An exact sequence from the nth to the (n-1)-st fundamental group