17 citations · 17 across the 7 of their papers we have counts for
8 papers
On the K-theory of -categories
Eugenia Ellis, Rafael Parra
We establish connections between the concepts of Noetherian, regular coherent, and regular n-coherent categories for Z-linear categories with finitely many objects and the correspo…
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…
K-theory of n-coherent rings
Eugenia Ellis, Rafael Parra
Let be a strong -coherent ring such that each finitely -presented -module has finite projective dimension. We consider the full subcategory of $R…
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…
Endomorphisms of Exotic Models
Eugenia Ellis, Constanze Roitzheim, Laura Scull +1
We calculate the endomorphism dga of Franke's exotic algebraic model for the -local stable homotopy category at odd primes. We unravel its original abstract structure to give ex…
Algebraic quantum kk-theory
Eugenia Ellis
Let be an algebraic quantum group. We introduce an equivariant algebraic -theory for -module algebras. We study an adjointness theorem related with s…
Equivariant algebraic kk-theory and adjointness theorems
Eugenia Ellis
We introduce an equivariant algebraic kk-theory for G-algebras and G-graded algebras. We study some adjointness theorems related with crossed product, trivial action, induction and…
Isomorphism conjectures with proper coefficients
Guillermo Cortiñas, Eugenia Ellis
Let be a group and let be a functor from small -linear categories to spectra. Also let be a ring with a -action. Under mild conditions on and one can def…