Emanuel Rodr'iguez Cirone

collaborators

3 papers

math.KT2026

Matrix stability and Morita invariance

Eugenia Ellis, Emanuel RodrÃguez Cirone

Let $G$ be a group. We prove that matrix stability for either $G$ -algebras or $G$ -graded algebras guarantees Morita invariance. As a consequence, bivariant algebraic K-theory (eith…

math.KT2025

Homotopy structures realizing algebraic kk-theory

Eugenia Ellis, Emanuel RodrÃguez Cirone

Algebraic $k k$ -theory, introduced by CortiÃ±as and Thom, is a bivariant $K$ -theory defined on the category $Alg$ of algebras over a commutative unital ring $ℓ$ . It cons…

math.KT2025

On the Baum-Connes conjecture for $D_{\infty}$

Eugenia Ellis, Emanuel RodrÃguez 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.

Matrix stability and Morita invariance

Homotopy structures realizing algebraic kk-theory

On the Baum-Connes conjecture for D∞​

On the Baum-Connes conjecture for $D_{\infty}$