Zobrazeno 1 - 10
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pro vyhledávání: '"Berrick, A. J."'
Autor:
Berrick, A. J., Hesselholt, Lars
Publikováno v:
J. reine angew. Math. 704 (2015), 169-185
We use the methods of topological Hochschild homology to shed new light on the groups satisfying the Bass trace conjecture. We show that the factorization of the Hattori-Stallings rank map through the Bokstedt-Hsiang-Madsen cyclotomic trace map leads
Externí odkaz:
http://arxiv.org/abs/1305.6438
Bott periodicity for the unitary, orthogonal and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with finite coefficients similar periodicity results are consequences of the
Externí odkaz:
http://arxiv.org/abs/1101.2056
Let X be a noetherian scheme of finite Krull dimension, having 2 invertible in its ring of regular functions, an ample family of line bundles, and a global bound on the virtual mod-2 cohomological dimensions of its residue fields. We prove that the c
Externí odkaz:
http://arxiv.org/abs/1011.4977
Autor:
Berrick, A. J.
Publikováno v:
Journal of Algebra (2010)
Two extremal classes of acyclic groups are discussed. For an arbitrary group G, there is always a homomorphism from an acyclic group of cohomological dimension 2 onto the maximum perfect subgroup of G, and there is always an embedding of G in a binat
Externí odkaz:
http://arxiv.org/abs/1006.4009
Publikováno v:
Math. Annalen 329, Number 4 (2004), 597 - 621.
We prove that the Bost Conjecture on the $\ell^1$-assembly map for countable discrete groups implies the Bass Conjecture. It follows that all amenable groups satisfy the Bass Conjecture.
Externí odkaz:
http://arxiv.org/abs/1004.1941
Publikováno v:
Geom. Topol. Monogr. 10 (2007) 41--62
The Bass trace conjectures are placed in the setting of homotopy idempotent selfmaps of manifolds. For the strong conjecture, this is achieved via a formulation of Geoghegan. The weaker form of the conjecture is reformulated as a comparison of ordina
Externí odkaz:
http://arxiv.org/abs/0903.4341
We completely determine the 2-primary torsion subgroups of the hermitian K-groups of rings of 2-integers in totally real 2-regular number fields. The result is almost periodic with period 8. We also identify the homotopy fibers of the forgetful and h
Externí odkaz:
http://arxiv.org/abs/0903.2545
Autor:
Berrick, A. J., Karoubi, M.
Publikováno v:
Amer. Journal Math. 127 (2005) 785-823
The 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory of the integers with 2 inverted (denoted by Z'). We also prove in this
Externí odkaz:
http://arxiv.org/abs/math/0509404