42 citations · 240 across the 49 of their papers we have counts for
37 papers · 1 filter
Homology of Steinberg algebras
Guido Arnone, Guillermo Cortiñas, Devarshi Mukherjee
We study homological invariants of the Steinberg algebra of an ample groupoid over a commutative ring . For principal or…
A Quillen model structure of local homotopy equivalences
Devarshi Mukherjee, Guillermo Cortiñas
In this note, we construct a closed model structure on the category of -graded complexes of projective systems of ind-Banach spaces. When the base field is…
Graded -theory and Leavitt path algebras
Guido Arnone, Guillermo Cortiñas
Let be a group and a commutative unital -ring with an element such that . We introduce variants of hermitian bivariant -theory for $\…
Bivariant Hermitian -theory and Karoubi's fundamental theorem
Guillermo Cortiñas, Santiago Vega
Let be a commutative ring with involution containing an element such that and let be the category of -algebras equipped w…
Non-Archimedean analytic cyclic homology
Guillermo Cortiñas, Ralf Meyer, Devarshi Mukherjee
Let be a complete discrete valuation ring with fraction field of characteristic zero and with residue field . We introduce analytic cyclic homology of complete…
Algebraic bivariant -theory and Leavitt path algebras
Guillermo Cortiñas, Diego Montero
This article is the first of two where we investigate to what extent homotopy invariant, excisive and matrix stable homology theories help one distinguish between the Leavitt path…