A note on asymptotic homomorphisms
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Publication:1344251
DOI10.1007/BF00961401zbMath0821.19003OpenAlexW2084206071MaRDI QIDQ1344251
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
homotopy categorystable homotopynon-periodicstable cohomotopyasymptotic homomorphismshomology for \(C^*\)-algebras
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
- Unnamed Item
- Unnamed Item
- Topological methods for \(C^*\)-algebras. III: Axiomatic homology
- The completely positive lifting problem for \(C^*\)-algebras
- Generalized homology theories on compact metric spaces
- Shape theory and asymptotic morphisms for \(C^*\)-algebras
- Categories of fractions and excision in KK-theory
- 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