Noncommutative Fr\'echet Spaces and Unbounded Bivariant K-Theory

zbMATH Open1298.46001arXiv1103.4528MaRDI QIDQ2877354

Nikolay Ivankov

Publication date: 22 August 2014

Abstract: In this paper we introduce an abstract approach to higher order smooth systems on $C^{*}$-algebras in contest of Baaj-Julg picture of $KK$-theory.

Full work available at URL: https://arxiv.org/abs/1103.4528

zbMATH Keywords

operator algebra\(KK\)-theorysmoothness in Banach algebras

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Kasparov theory ((KK)-theory) (19K35)

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