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Autor:
Bartels, Arthur, Lueck, Wolfgang
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 groups G. In par
Externí odkaz:
http://arxiv.org/abs/2306.03452
Autor:
Bartels, Arthur, Lueck, Wolfgang
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, we carry out
Externí odkaz:
http://arxiv.org/abs/2306.01518
Autor:
Bartels, Arthur, Lueck, Wolfgang
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 an equivar
Externí odkaz:
http://arxiv.org/abs/2306.01510
Autor:
Bartels, Arthur, Lueck, Wolfgang
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 study the
Externí odkaz:
http://arxiv.org/abs/2306.00727
Autor:
Bartels, Arthur, Lueck, Wolfgang
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 algebra of G in t
Externí odkaz:
http://arxiv.org/abs/2204.07982
Autor:
Bartels, Arthur C.
Publikováno v:
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Thesis (Ph. D.)--University of California, San Diego, 1999.
Vita. Includes bibliographical references (leaves 42-43).
Vita. Includes bibliographical references (leaves 42-43).
Externí odkaz:
http://wwwlib.umi.com/cr/ucsd/fullcit?p9936836
Autor:
Bartels, Arthur, Lueck, Wolfgang
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-groups vanish f
Externí odkaz:
http://arxiv.org/abs/2002.03412
We prove that finite-index conformal nets are fully dualizable objects in the 3-category of conformal nets. Therefore, assuming the cobordism hypothesis applies, there exists a local framed topological field theory whose value on the point is any fin
Externí odkaz:
http://arxiv.org/abs/1905.03393
Autor:
Bartels, Arthur
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.
Comment: submitted to Proceedings of the IC
Comment: submitted to Proceedings of the IC
Externí odkaz:
http://arxiv.org/abs/1801.00020
Autor:
Bartels, Arthur, Bestvina, Mladen
We prove the Farrell-Jones Conjecture for mapping class groups. The proof uses the Masur-Minsky theory of the large scale geometry of mapping class groups and the geometry of the thick part of Teichmueller space. The proof is presented in an axiomati
Externí odkaz:
http://arxiv.org/abs/1606.02844