3 citations · 4 across the 8 of their papers we have counts for
9 papers
Matrix stability and Morita invariance
Eugenia Ellis, Emanuel Rodríguez Cirone
Let be a group. We prove that matrix stability for either -algebras or -graded algebras guarantees Morita invariance. As a consequence, bivariant algebraic K-theory (eith…
On the Baum-Connes conjecture for
Eugenia Ellis, Emanuel Rodríguez Cirone, Gisela Tartaglia
We make an exposition of the proof of the Baum-Connes conjecture for the infinite dihedral group following the ideas of Higson and Kasparov.
Homotopy structures realizing algebraic kk-theory
Eugenia Ellis, Emanuel Rodríguez Cirone
Algebraic -theory, introduced by Cortiñas and Thom, is a bivariant -theory defined on the category of algebras over a commutative unital ring . It consi…
Algebraic kk-theory and the KH-isomorphism conjecture
Eugenia Ellis, Emanuel Rodríguez Cirone
We relate the Davis-Lück homology with coefficients in Weibel's homotopy K-theory to the equivariant algebraic kk-theory using homotopy theory and adjointness theorems. We express…
Two examples of vanishing and squeezing in
Eugenia Ellis, Emanuel Rodríguez Cirone, Gisela Tartaglia +1
Controlled topology is one of the main tools for proving the isomorphism conjecture concerning the algebraic -theory of group rings. In this article we dive into this machinery…
The loop-stable homotopy category of algebras
Emanuel Rodríguez Cirone
Let l be a commutative ring with unit. Garkusha constructed a functor from the category of l-algebras into a triangulated category D, that is a universal excisive and homotopy inva…
The homotopy groups of the simplicial mapping space between algebras
Emanuel Rodríguez Cirone
Let be a commutative ring with unit. To every pair of -algebras and one can associate a simplicial set so that equals the set of…
A strictly-functorial and small dg-enhancement of the derived category of perfect complexes
Emanuel Rodríguez Cirone
Let k be a commutative noetherian ring. We construct a strictly-functorial presheaf of small dg-categories over k on the category of k-schemes of finite type, which gives dg-enhanc…
Singular coefficients in the K-theoretic Farrell-Jones conjecture
Guillermo Cortiñas, Emanuel Rodríguez Cirone
Let G be a group and k a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R[G] is satisfied for every smooth k-algebra R, then it is…