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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.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.