Arthur Bartels
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View article: (<i>R</i>)-<i>S</i>-Adenosyl-L-methionine hydrolases counter sulfonium epimerisation in thermophilic archaea
(<i>R</i>)-<i>S</i>-Adenosyl-L-methionine hydrolases counter sulfonium epimerisation in thermophilic archaea Open
S -Adenosyl-L-methionine (SAM) is the second most used enzyme cofactor and vital for numerous cellular reactions such as methylation or polyamine synthesis. While most stereocentres of the biologically active ( S S ,S Cα )-SAM are fixed, e…
View article: Algebraic K-theory of completed Kac-Moody groups
Algebraic K-theory of completed Kac-Moody groups Open
We extend results for the K-theory of Hecke algebras of reductive $p$-adic groups to completed Kac-Moody groups.
View article: Vanishing of Nil-terms and negative <i>K</i>-theory for additive categories
Vanishing of Nil-terms and negative <i>K</i>-theory for additive categories Open
We extend the notion of regular coherence from rings to additive categories and show that well-known consequences of regular coherence for rings also apply to additive categories. For instance, the negative K -groups and all twisted Nil-gr…
View article: Almost equivariant maps for td-groups
Almost equivariant maps for td-groups Open
We construct certain maps from buildings associated to td-groups to a space closely related to the classifying numerable G -space for the family \mathcal{C}\mathrm{vcy} of covirtually cyclic subgroups. These maps are used elsewhere to stud…
View article: Algebraic K-theory of reductive p-adic groups
Algebraic K-theory of reductive p-adic groups Open
Motivated by the Farrell-Jones Conjecture for group rings, we formulate the $\mathcal{C}$op-Farrell-Jones Conjecture for the K-theory of Hecke algebras of td-groups. We prove this conjecture for (closed subgroups of) reductive p-adic group…
View article: Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups
Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups Open
We compute the algebraic K-theory of the Hecke algebra of a reductive p-adic group G using the fact that the Farrell-Jones Conjecture is known in this context. The main tool will be the properties of the associated Bruhat-Tits building and…
View article: Inheritance properties of the Farrell-Jones Conjecture for totally disconnected groups
Inheritance properties of the Farrell-Jones Conjecture for totally disconnected groups Open
In this paper we formulate and lay the foundations for the K-theoretic Farrell-Jones Conjecture for the Hecke algebra of totally disconnected groups. The main result of his paper is the proof that it passes to closed subgroups. Moreover, w…
View article: Almost equivariant maps for td-groups
Almost equivariant maps for td-groups Open
We construct certain maps from buildings associated to td-groups to a space closely related to the classifying numerable $G$-space for the family $\mathcal{C}$vcy of covirtually cyclic subgroups. These maps are used in forthcoming paper to…
View article: Post-synthetic benzylation of the mRNA 5′ cap <i>via</i> enzymatic cascade reactions
Post-synthetic benzylation of the mRNA 5′ cap <i>via</i> enzymatic cascade reactions Open
Novel S -adenosyl- l -methionine analogues were generated enzymatically and used for regioselective benzylation of biomolecules. Applied to the mRNA 5′ cap, protein production in cells can be increased and immunogenicity altered.
View article: On the algebraic K-theory of Hecke algebras
On the algebraic K-theory of Hecke algebras Open
Consider a totally disconnected group G, which is covirtually cyclic, i.e., contains a normal compact open subgroup L such that G/L is infinite cyclic. We establish a Wang sequence, which computes the algebraic K-groups of the Hecke algebr…
View article: Vanishing of Nil-terms and negative K-theory for additive categories
Vanishing of Nil-terms and negative K-theory for additive categories Open
We extend the notion of regular coherence from rings to additive categories and show that well-known consequences of regular coherence for rings also apply to additive categories. For instance the negative K-groups and all twisted Nil-grou…
View article: K-theory and actions on Euclidean retracts
K-theory and actions on Euclidean retracts Open
This note surveys axiomatic results for the Farrell-Jones Conjecture in terms of actions on Euclidean retracts and applications of these to GL_n(Z), relative hyperbolic groups and mapping class groups.