Twisted \(K\)-theory, \(K\)-homology, and bivariant Chern-Connes type character of some infinite dimensional spaces

DOI10.1215/21562261-2693460zbMath1309.19006arXiv1104.4835OpenAlexW3105158170MaRDI QIDQ2258612

Snigdhayan Mahanta

Publication date: 26 February 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4835

zbMATH Keywords

twisted cohomologyChern charactertwisted \(K\)-theorypro-\(C^*\)-algebratwisted \(K\)-homologylocal cyclic homology

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) (K)-theory and homology; cyclic homology and cohomology (19D55) Negative (K)-theory, NK and Nil (19D35)

Related Items (4)

Colocalizations of noncommutative spectra and bootstrap categories ⋮ Atiyah-Jänich theorem for \(\sigma\)-\(C^*\)-algebras ⋮ Noncommutative stable homotopy and stable infinity categories ⋮ Algebraic \(K\)-theory, \(K\)-regularity, and \(\mathbb T\)-duality of \(\mathcal O_\infty\)-stable \(C^\ast\)-algebras

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