Add to ORKGLet G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rational KH isomorphism conjecture for the group algebra L 1 [G] with coefficients in the algebra of trace-class operators in Hilbert space, then it also satisfies the Ktheoretic Novikov conjecture for the group algebra over the integers, and the rational injectivity part of the Farrell-Jones conjecture with coefficients in any number field.Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones...
AbstractFor Λ a finite-dimensional k-algebra, k a field, we study the relations between the category...
Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a cl...
AbstractThe Isomorphism Conjectures are translated into the language of homotopical algebra, where t...
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rationa...
Let B be the ring of bounded operators in a complex, separable Hilbert space. For p > 0 consider the...
We prove that the Farrell–Jones assembly map for connective algebraic K -theory is rationally injec...
Las conjeturas de isomorfismo prevén una descripción de la K-teoría (en sus diversas variantes) del ...
We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation propert...
Let B be the ring of bounded operators in a complex, separable Hilbert space. For p > 0 consider the...
We give a new, conceptual proof and sharp generalization of a Theorem by Cary Malkiwiech [Mal17] abo...
AbstractIn this article, we give a characterisation of the Baum–Connes assembly map with coefficient...
Let k be a number field, p$\ge$2 a prime and S a set of tame or wild finite places of k. We call K/k...
AbstractLet VZG (respectively, VQG) denote the group of units of augmentation 1 in the integral (res...
In this article, we give a short survey of some known results and our recent results in [HKK13], [CH...
Diese Arbeit verfolgt zwei Fragen, die im Zusammenhang mit der Farrell-Jones-Vermutung stehen. Zum E...
AbstractFor Λ a finite-dimensional k-algebra, k a field, we study the relations between the category...
Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a cl...
AbstractThe Isomorphism Conjectures are translated into the language of homotopical algebra, where t...
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rationa...
Let B be the ring of bounded operators in a complex, separable Hilbert space. For p > 0 consider the...
We prove that the Farrell–Jones assembly map for connective algebraic K -theory is rationally injec...
Las conjeturas de isomorfismo prevén una descripción de la K-teoría (en sus diversas variantes) del ...
We prove the K-theoretic Farrell-Jones conjecture for groups with the Haagerup approximation propert...
Let B be the ring of bounded operators in a complex, separable Hilbert space. For p > 0 consider the...
We give a new, conceptual proof and sharp generalization of a Theorem by Cary Malkiwiech [Mal17] abo...
AbstractIn this article, we give a characterisation of the Baum–Connes assembly map with coefficient...
Let k be a number field, p$\ge$2 a prime and S a set of tame or wild finite places of k. We call K/k...
AbstractLet VZG (respectively, VQG) denote the group of units of augmentation 1 in the integral (res...
In this article, we give a short survey of some known results and our recent results in [HKK13], [CH...
Diese Arbeit verfolgt zwei Fragen, die im Zusammenhang mit der Farrell-Jones-Vermutung stehen. Zum E...
AbstractFor Λ a finite-dimensional k-algebra, k a field, we study the relations between the category...
Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a cl...
AbstractThe Isomorphism Conjectures are translated into the language of homotopical algebra, where t...