9 citations · 13 across the 12 of their papers we have counts for
12 papers
A remark on the Farrell-Jones conjecture
Ilias Amrani
Assuming the classical Farrell-Jones conjecture we produce an explicit (commutative) group ring and a thick subcategory of perfect -complexes such that the Wald…
Derived noncommutative Zariski immersion and an equivalent reformulation of Friedlander-Milnor conjecture
Ilias Amrani
WeintroducethenotionofderivedformalnoncommutativeZariski immersion for differential graded algebra with examples from topology. We il- lustrate the importance of such notion by ref…
The Friedlander-Milnor conjectures
Ilias Amrani
We prove the Milnor conjecture for Lie groups and the Friedlander conjecture for complex algebraic Lie groups.
Analogy between the cyclotomic trace map and the Grothendieck trace formula via noncommutative geometry
Ilias Amrani
In this article, we suggest a categorification procedure in order to capture an analogy between Crystalline Grothendieck-Lefschetz trace formula and the cyclotomic trace map $K\rig…
Rational homotopy theory of function spaces and Hochschild cohomology
Ilias Amrani
Given a map of simply connected spaces of finite type such. The space of based loops at of the space of maps between and is denoted by $Ω_{f} Map(X,…
Comparing commutative and associative unbounded differential graded algebras over Q from homotopical point of view
Ilias Amrani
In this paper we establish a faithfulness result, in a homotopical sense, between a subcategory of the model category of augmented differential graded commutative algebras CDGA and…