Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Reich, Holger."'
Autor:
Reich, Holger, Varisco, Marco
Publikováno v:
Space - Time - Matter. Analytic and Geometric Structures, pp. 1-50, De Gruyter, 2018
We give a concise introduction to the Farrell-Jones Conjecture in algebraic $K$-theory and to some of its applications. We survey the current status of the conjecture, and we illustrate the two main tools that are used to attack it: controlled algebr
Externí odkaz:
http://arxiv.org/abs/1702.02218
Publikováno v:
J. Reine Angew. Math. 755 (2019), 247-277
We use assembly maps to study $\mathbf{TC}(\mathbb{A}[G];p)$, the topological cyclic homology at a prime $p$ of the group algebra of a discrete group $G$ with coefficients in a connective ring spectrum $\mathbb{A}$. For any finite group, we prove tha
Externí odkaz:
http://arxiv.org/abs/1607.03557
Publikováno v:
Adv. Math. 304 (2017) 930-1020
We prove that the Farrell-Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt-Schneider conjecture holds for cyclotom
Externí odkaz:
http://arxiv.org/abs/1504.03674
Autor:
Reich, Holger.
"Submitted in partial fulfillment of the requirements for the degree of Master of Business Administration from the Naval Postgraduate School, June 2008."
Advisor(s): Naegle, Brad R. ; Rendon, Rene G. "June 2008." "MBA professional report"--Cover
Advisor(s): Naegle, Brad R. ; Rendon, Rene G. "June 2008." "MBA professional report"--Cover
Externí odkaz:
http://bosun.nps.edu/uhtbin/hyperion-image.exe/08Jun%5FReich%5FMBA.pdf
http://handle.dtic.mil/100.2/ADA483481
http://handle.dtic.mil/100.2/ADA483481
Autor:
Reich, Holger, Varisco, Marco
Publikováno v:
Algebr. Geom. Topol. 16 (2016), no. 3, 1493-1566
We give a natural construction and a direct proof of the Adams isomorphism for equivariant orthogonal spectra. More precisely, for any finite group G, any normal subgroup N of G, and any orthogonal G-spectrum X, we construct a natural map A of orthog
Externí odkaz:
http://arxiv.org/abs/1404.4034
We prove the K- and L-theoretic Farrell-Jones Conjecture (with coefficients in additive categories) for GL_n(Z).
Comment: Final version, to appear in Publ. Math.IHES. 23 pages
Comment: Final version, to appear in Publ. Math.IHES. 23 pages
Externí odkaz:
http://arxiv.org/abs/1204.2418
Publikováno v:
Journal of Topology, 4 (2011), 505-528
We use controlled topology applied to the action of the infinite dihedral group on a partially compactified plane and deduce two consequences for algebraic K-theory. The first is that the family in the K-theoretic Farrell-Jones conjecture can be redu
Externí odkaz:
http://arxiv.org/abs/1002.3702
We present the status of the Farrell-Jones Conjecture for algebraic K-theory for a group G and arbitrary coefficient rings R. We add new groups for which the conjecture is known to be true and study inheritance properties. We discuss new applications
Externí odkaz:
http://arxiv.org/abs/math/0703548
We prove the K-theoretic Farrell-Jones Conjecture for hyperbolic groups with (twisted) coefficients in any associative ring with unit.
Comment: 33 pages; final version; to appear in Invent. Math
Comment: 33 pages; final version; to appear in Invent. Math
Externí odkaz:
http://arxiv.org/abs/math/0701434
We prove an equivariant version of the fact that word-hyperbolic groups have finite asymptotic dimension. This is important in connection with our forthcoming proof of the Farrell-Jones conjecture in algebraic K-theory for every word-hyperbolic group
Externí odkaz:
http://arxiv.org/abs/math/0609685