4 papers
math.AT2012
The Farrell-Jones Isomorphism Conjecture in K-Theory
Marcelo Gomez Morteo
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…
math.AT2012
A Dirac Morphism for the Farrell-Jones Isomorphism Conjecture in K-Theory
Marcelo Gomez Morteo
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.GR2010
On the Semisimplicty of the Action of the Frobenius on Etale Cohomology
Marcelo Gomez Morteo
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.AT2010
The Tate Thomason Conjecture
Marcelo Gomez Morteo
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.