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Common terms and phrasesacyclic algebra assembly map basepoint BGL(R central extension chain complex Chern character cohomology commutative diagram commutative ring compact construction Corollary corresponding CW-complex cyclic group cyclic homology Dedekind domain Deduce defined Definition diagonal dimension direct sum direct summand double complex element elementary example Exercise fact fibration field finite type finitely generated projective free abelian group functor fundamental group gives GL(n GL(R hence Hochschild Hochschild homology homology groups homomorphism homotopy equivalence i?-module idempotent identity if-theory inclusion induces an isomorphism injective integers inverse kernel Ki(R Ko(R Kq(R left regular Lemma Let G matrix Mn(R morphism multiplication non-trivial non-zero Note operator polynomial prime ideals projective modules proof of Theorem Proposition quotient map R-modules relations short exact sequence SKi(R SL(n split Steinberg symbols subgroup Suppose surjective theory topological trivial universal central extension vanishes vector bundles Whitehead References to this bookFrom other books
From Google ScholarExtensions of Exchange RingsPere Ara - 1997 - Journal of Algebra Noncommutataive Descent and Non-Abelian CohomologyPhilippe Nuss - 1997 - K-Theory Strong Connections and Chern-Connes Pairing¶ in the Hopf-Galois TheoryLudwik Dąbrowski, Harald Grosse, M Hajac - 2001 - Communications in Mathematical Physics The Baum-Connes and the Farrell-Jones Conjectures in K-and L-TheoryWolfgang Luck, Holger Reich - 2004 - Arxiv preprint math.KT/0402405 References from web pagesImport Export International Rosenberg J. Алгебраическая Теория K и ее приложения (Springer ... Mathematical Errata Algebraic K-Theory And Its Applications - Boek - BESLIST.nl Chapter I (researchindex) Rosenberg J. Algebraic K-Theory and its applications (Springer ... @article {mr2001f:58056, AUTHOR={Perrot, Denis}, TITLE={B{R}{S ... 1 A topologist’s view of perfect and acyclic groups ’ ’ hj 6 ix Arithmetic groups and their generalizations: what, why and how Bibliographic information |