C ∞ Loop Algebras and Noncommutative Bott Periodicity

DOI10.2307/2001642zbMath0781.46050OpenAlexW2325923358MaRDI QIDQ3978438

N. Christopher Phillips

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2307/2001642

zbMATH Keywords

algebraic topology\(K\)-theory of \(\sigma\)-\(C^*\)-algebrasanalytic methods of operator algebrasnon-commutative version ob Bott periodicity theorem in its base-point formnoncommutative homotopy

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) (K)-theory and operator algebras (including cyclic theory) (46L80) Loop spaces (55P35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (K)-theory and operator algebras (19K99) Inductive and projective limits in functional analysis (46M40)

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