$K$-théorie algébrique et représentations de groupes

DOI10.24033/asens.1312zbMath0362.18014OpenAlexW280817494MaRDI QIDQ4135750

Publication date: 1976

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1976_4_9_3_309_0

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (71)

The cyclic homology of an exact category ⋮ Lower bounds for $K_ 2^{top}({\hat {\mathbb{Z}}}_ p\pi)$ and $K_ 2({\mathbb{Z}}\pi)$ ⋮ Class groups and general linear group cohomology for a ring of algebraic integers ⋮ Tensor products of matrices, cyclic homology, homology of Lie algebras ⋮ Some finiteness results in the higher K-theory of orders and group-rings ⋮ Comparaison des homologies du groupe linéaire et de son algèbre de Lie. (Comparison of homologies of a linear group and its Lie algebra) ⋮ Relation between the Farrell-Jones conjectures in algebraic and Hermitian $K$-theory ⋮ Third homology of perfect central extensions ⋮ Multirelative algebraic K-theory: The group $K_ 2(\Lambda;I_ 1,\dots ,I_ n)$ and related computations ⋮ Quasi-representations of groups and two-homology ⋮ Intertwiners and the K-theory of commutative rings ⋮ Algebraic K-theory of group rings and the cyclotomic trace map ⋮ Bivariant Hermitian $K$-theory and Karoubi's fundamental theorem ⋮ Uniqueness of products in higher algebraic K-theory ⋮ Operations on algebraic $K$-theory and regulators via the $A^1$-homotopy theory ⋮ A non-Abelian $K$-theory and pseudo-isotopies of 3-manifolds ⋮ Homologie du groupe linéaire et K-théorie de Milnor des anneaux. (Homology of the linear group and Milnor's K-theory of rings) ⋮ Real topological Hochschild homology ⋮ $K_2(2,k[T,T^{-1})$ is generated by symbols] ⋮ On the real cohomology of arithmetic groups and the rank conjecture for number fields ⋮ Note on the injectivity of the Loday assembly map ⋮ Positive scalar curvature on manifolds with fibered singularities ⋮ Boolean algebras, Morita invariance and the algebraic K-theory of Lawvere theories ⋮ GENERALISATIONS OF LODAY’S ASSEMBLY MAPS FOR LAWVERE’S ALGEBRAIC THEORIES ⋮ Corrections to $H^3(G,A)$ and obstructions of group extensions ⋮ Unnamed Item ⋮ Relations between the Milnor and Quillen K-theory of fields ⋮ Pairings of categories and spectra ⋮ lambda-rings and algebraic K-theory ⋮ Derived representation schemes and cyclic homology ⋮ Riemann-Roch theorems for higher algebraic K-theory ⋮ K-théorie algébrique négative et K-théorie topologique de l'algèbre de fréchet des opérateurs régularisants ⋮ On the Higher Whitehead Groups of a Bieberbach Group ⋮ $K_ 2 $and $K_ 3 $of the circle ⋮ A modified Stiefel-Whitney invariant and a calculation in $K_ 3 $of an algebraic number field ⋮ $K$-theory for topological algebroids ⋮ Algebraic v. Topological K-Theory: A Friendly Match ⋮ Algebraic K-theory and cyclic homology ⋮ On the k-invariants of iterated loop spaces ⋮ On the plus construction for $BGL \mathbb{Z} [{1\over 2}$ at the prime 2] ⋮ $p$-adic $K$-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures ⋮ Higher Whitehead groups and stable homotopy ⋮ $G $-theory of $\mathbb F_1$-algebras I: the equivariant Nishida problem ⋮ $K$-theory of fine topological algebras, Chern character, and assembly ⋮ Relative Milnor $K$-theory ⋮ Assembly maps, $K$-theory, and hyperbolic groups ⋮ Algebraic K-theory ⋮ Explicit formulas for the Chern character in algebraic $K$-theory. ⋮ On the Farrell-Jones conjecture for higher algebraic 𝐾-theory ⋮ Higher Algebraic K-Theory ⋮ A calculation of the multiplicative character ⋮ Cohomologie et groupe de Steinberg rélatifs ⋮ A generalization of local class field theory by using K-groups. II ⋮ $K_2$ and the $K$-theory of automorphisms ⋮ Grothendieck groups of polynomial and Laurent polynomial rings ⋮ On 2-adic cyclotomic elements in $K$-theory and étale cohomology of the ring of integers ⋮ Homology of classical Lie groups made discrete. III ⋮ The Baum-Connes assembly map, delocalization and the Chern character ⋮ Joint torsion of Toeplitz operators with $H^{\infty}$ symbols ⋮ $K$-theory of Hermitian Mackey functors, real traces, and assembly ⋮ Stabilisation de la $K$-théorie algébrique des espaces topologiques ⋮ The indecomposable $K_3$ of rings and homology of $\text{SL}_2$ ⋮ La K-théorie stable ⋮ Geometric models for the K-theory of fields ⋮ A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions ⋮ Unitary K-homology, $SL_ 2$ and the class group ⋮ Algebraic $K$-theory and the norm residue homomorphism ⋮ The relative $K_ 2$ of truncated polynomial rings ⋮ The boundary of the Eisenstein symbol ⋮ A Bloch-Wigner theorem over rings with many units. II. ⋮ Algebraic 𝐾-theory of poly-(finite or cyclic) groups

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