34,573 research outputs found

    [Letter from J F. Farrell to H. T. Staiti - October 19, 1918]

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    Letter from J. Fletcher Farrell to Henry T. Staiti offering condolences for the death of Staiti's brother Grover

    Various ^2ehBsignatures and a topological ^2ehBsignature theorem

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    For a normal covering over a closed oriented topological manifold we give a proof of the L2-signature theorem with twisted coefficients, using Lipschitz structures and the Lipschitz signature operator introduced by Teleman. We also prove that the L-theory isomorphism conjecture as well as the -version of the Baum-Connes conjecture imply the L2-signature theorem for a normal covering over a Poincaré space, provided that the group of deck transformations is torsion-free. We discuss the various possible definitions of L2-signatures (using the signature operator, using the cap product of differential forms, using a cap product in cellular L2-cohomology, …) in this situation, and prove that they all coincide

    The Farrell-Jones conjecture for some general linear groups

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    In this thesis I prove the K- and L-theoretic Farrell-Jones conjecture with coefficients in any additive category for the general linear groups of F(x) for a finite field F. I also show that the general linear groups over the rationals satisfy the Farrell-Jones conjecture with coefficients in any additive category relative to the family of virtually solvable subgroups.In dieser Arbeit zeige ich die K- und L-theoretische Farrell-Jones Vermutung für die allgemeine linearen Gruppen über F[t] für einen endlichen Körper F. Desweiteren zeige ich die Farrell-Jones Vermutung relativ zur Familie der virtuell auflösbaren Untergruppen für die allgemeine lineare Gruppe über Q

    The Chicago convert: James T. Farrell

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    It was my original intention in 1950, when I proposed this study of James T. Farrell, to attain some personal insight into the life of a writer whom I knew had risen to literary prominence from an environment very similar to my own, I felt that by exploiting that propinquity with the proper application I could, perhaps, ascertain what was the psychological force that had enabled him to write with such inspiration as to establish himself as one of the leading contemporary novelists* In so doing, I hoped to learn how to rise above my situation In the way he transcended his

    Farrell-Jones spheres and inertia groups of complex projective spaces

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    We introduce and study a new class of homotopy spheres called Farrell-Jones spheres. Using Farrell-Jones sphere we construct examples of closed negatively curved manifolds M-2n, where n = 7 or 8, which are homeomorphic but not diffeomorphic to complex hyperbolic manifolds, thereby giving a partial answer to a question raised by C. S. Aravinda and F. T. Farrell. We show that every exotic sphere not bounding a spin manifold (Hitchin sphere) is a Farrell-Jones sphere. We also discuss the relationship between inertia groups of CPn and Farrell-Jones spheres

    farrell

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    farrellAn' he brought un an' give un to me - a blue farrell with....in gold letters around .... (cover of book)(cover of book)YesJ.D.A. WIDDOWSON JUL 1973 DNE-citUsed IUsed IUsed

    The Ore condition, affiliated operators, and the lamplighter group

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    Let G = ℤ/2ℤ ≀ ℤ be the so called lamplighter group and k a commutative ring. We show that kG does not have a classical ring of quotients (i.e. does not satisfy the Ore condition). This answers a Kourovka notebook problem. Assume that kG is contained in a ring R in which the element 1 – x is invertible, with x a generator of ℤ ⊂ G. Then R is not flat over kG. If k = ℂ, this applies in particular to the algebra of unbounded operators affiliated to the group von Neumann algebra of G. We present two proofs of these results. The second one is due to Warren Dicks, who, having seen our argument, found a much simpler and more elementary proof, which at the same time yielded a more general result than we had originally proved. Nevertheless, we present both proofs here, in the hope that the original arguments might be of use in some other context not yet known to us

    Letter from Carl Hayden to Henry F. Ashurst

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    Letter describing three enclosures, a letter from F. M. Gold, Carl T. Hayden's reply to Gold's letter, and a copy of a bill introduced by Cameron

    Letter from A. F. Potter to Carl Hayden

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    Letter from A. F. Potter to Carl T. Hayden describing John H. Page's request to build a railway for the Canyon Copper Company as "impractical"
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