Unitary K-homology, \(SL_ 2\) and the class group

DOI10.1007/BF01163507zbMath0523.55008OpenAlexW1965717676MaRDI QIDQ1056412

Victor P. Snaith

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173366

zbMATH Keywords

Picard groupAdams operationfibre homology theorygeneralized homotopy theoryring of integers in a global fieldunitary K-homology

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Homotopy theory (55P99) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Picard groups (14C22) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) (J)-morphism (55Q50)

Cites Work

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• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Homology of \(\mathrm{SL}_2(\mathbb Z[\omega)\)]
• \(K_i\) groups of rings of algebraic integers
• A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
• Algebraic cobordism and 𝐾-theory
• $K$-théorie algébrique et représentations de groupes

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