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The ideal class group action on \(K\)-groups and homology groups

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Publication:741417
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DOI10.1016/j.topol.2014.08.009zbMath1297.19003OpenAlexW2035855674MaRDI QIDQ741417

Feng Ji

Publication date: 12 September 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2014.08.009


zbMATH Keywords

number fieldsalgebraic \(K\)-theoryDedekind domainsideal class grouphomology of linear groups


Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Class numbers, class groups, discriminants (11R29) (K)-theory in number theory (19F99)




Cites Work

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  • The Hurewicz homomorphism in algebraic K-theory
  • On the structure of the \(K_ 2\) of the ring of integers in a number field
  • Groupes de Chow et K-théorie de variétés sur un corps fini
  • Algebraic \(K\)-theory of rings from a topological viewpoint
  • Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
  • Weyl Groups, Ideal Class Groups and theK-Theory of the Extension Functor
  • KV-Theory of Categories
  • Higher algebraic K-theory: I
  • Stable real cohomology of arithmetic groups
  • Intertwiners and the K-theory of commutative rings
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