The role of 𝐾-theory in noncommutative algebraic topology

DOI10.1090/conm/010/658514zbMath0486.46052OpenAlexW4243599432MaRDI QIDQ3946642

Jonathan M. Rosenberg

Publication date: 1982

Published in: Operator Algebras and 𝐾-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/010/658514

zbMATH Keywords

exact sequencesBott periodicityK-theory of C*-algebrasstable homotopy groupsconnective K-theorycategory of separable nuclear C*-algebrasaxiomatic homologynon-commutative algebraic topologyhomotopy-invariant functors

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

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