Eugenia Ellis

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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…