The Tate Thomason Conjecture
We prove The Tate Thomason conjecture through Theorem 2.2. Fundamental is the work of R W Thomson and the proof also rests upon the theory of infinite abelian groups.
math.AT↗
arXiv subjects
Marcelo Gomez Morteo
Publications and source records attributed to Marcelo Gomez Morteo.
The Farrell-Jones Isomorphism Conjecture in K-Theory
We prove that the Farrell-Jones isomorphism conjecture for non-connective algebraic K-theory for a discrete group G and a coefficient ring R holds true if G belongs to the class of groups acting on trees, under certain conditions on G (see theorem 0.5 below) and if the coefficient ring R is either regular or hereditary, depending on the structure of G. Our result is weaker than the result that has been established in [15] which says that these groups verify the conjecture for any coefficient ring, see remark 0.6 below.
math.AT↗
A Dirac Morphism for the Farrell-Jones Isomorphism Conjecture in K-Theory
We construct a Dirac morphism and prove that if this Dirac morphism is invertible, then the isomorphism conjecture for non-connective algebraic K-theory holds true.
math.AT↗
On the Semisimplicty of the Action of the Frobenius on Etale Cohomology
I give a proof of the semisimplicity of the action of the geometric frobenius on etale cohomology. This proof is based on the Weil Conjectures.
math.GR↗