--------------------------------------------------- There are 4 new papers this time, from Bartels-Lueck-Reich, Davis-Dula-Mahowald, and Vespa (2). In adddition, there are 3 updates of papers recently posted to Hopf; I will just list these rather than including the abstracts again. They are Benson-Chebolu-Christensen-Minac/GH-pgroup-new Chebolu-Christensen-Minac/GH-Stmod Kuhn/primitives Mark Hovey New papers appearing on hopf between 1/1/07 and 2/3/07 1. http://hopf.math.purdue.edu/cgi-bin/generate?/Bartels-Lueck-Reich/blr-hyperbolic Title: The K-theoretic Farrell-Jones Conjecture for hyperbolic groups Authors: Arthur Bartels, Wolfgang Lueck, Holger Reich Abstract: We prove the K-theoretic Farrell-Jones Conjecture for hyperbolic groups with (twisted) coefficients in any associative ring with unit. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/Davis-Dula-Mahowald/imms2 Immersions of RP^{2^e-1} Donald M. Davis, Giora Dula, and Mark Mahowald Abstract: We prove that RP^{2^e-1} cannot be immersed in R^{2^{e+1}-e-8} provided e>6. If e>13, this is 2 better than previously known immersions. Our method is primarily an induction on geometric dimension, incorporating also sections obtained from the Radon-Hurwitz theorem. 3. http://hopf.math.purdue.edu/cgi-bin/generate?/Vespa/Fquad Generic representations of orthogonal groups: the functor category Fquad Christine Vespa In this paper, we define the functor category Fquad associated to vector spaces over the field with two elements equipped with a quadratic form. We show the existence of a fully-faithful, exact functor from F to Fquad, which preserves simple objects, where F is the category of functors from the category of finite dimensional vector spaces over the field with two elements to the category of all vector spaces. We define a subcategory Fquad, which is equivalent to the product of the categories of modules over the orthogonal groups; the inclusion is a fully-faithful functor which preserves simple objects. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/Vespa/mixtes Generic representations of orthogonal groups: the mixed functors Christine Vespa In previous work, we defined the category of functors Fquad, associated to vector spaces over the field with two elements equipped with a nondegenerate quadratic form. In this paper, we define a special family of objects in the category Fquad, named the mixed functors. We give the complete decompositions of two elements of this family that give rise to two new infinite families of simple objects in the category Fquad. ---------------