Zobrazeno 1 - 10
of 943
pro vyhledávání: '"P. Bunke"'
Autor:
Bunke, Ulrich, Ludewig, Matthias
We interpret the coarse symbol and index class of a Callias type Dirac operator $D+\Psi$ on a manifold $M$ as a pairing between the coarse symbol and index classes associated to $D$ and K-theory classes of the coarse corona of $M$ or $M$ itself deter
Externí odkaz:
http://arxiv.org/abs/2411.01646
Autor:
Bunke, Ulrich, Duenzinger, Benjamin
We show that the equivariant $E$-theory category $\mathrm{E}_{\mathrm{sep}}^{G}$ for separable $C^{*}$-algebras is a compactly assembled stable $\infty$-category. We derive this result as a consequence of the shape theory for $C^{*}$-algebras develop
Externí odkaz:
http://arxiv.org/abs/2402.18228
Autor:
Bunke, Ulrich
In this paper we analyse for a $G$-$C^{*}$-algebra $A$ to which extent one can calculate the $K$-theory of the reduced crossed product $K(A\rtimes_{r}G)$ from the $K$-theory spectrum $K(A)$ with the induced $G$-action. We also consider some cases whe
Externí odkaz:
http://arxiv.org/abs/2311.06562
Autor:
Bunke, Ulrich
This is a survey on coarse geometry with an emphasis on coarse homology theories.
Comment: 16.p, Invited contribution to the Encyclopedia of Mathematical Physics 2nd edition
Comment: 16.p, Invited contribution to the Encyclopedia of Mathematical Physics 2nd edition
Externí odkaz:
http://arxiv.org/abs/2305.09203
Autor:
Bunke, Ulrich
Publikováno v:
Orbita Math. 1 (2024) 103-210
We provide a homotopy theorist's point of view on $KK$- and $E$-theory for $C^{*}$-algebras. We construct stable $\infty$-categories representing these theories through a sequence of Dwyer-Kan localizations of the category of $C^{*}$-algebras. Thereb
Externí odkaz:
http://arxiv.org/abs/2304.12607
Publikováno v:
BMC Sports Science, Medicine and Rehabilitation, Vol 16, Iss 1, Pp 1-13 (2024)
Abstract Background Interventions that are co-created with end-users, and that are informed by behavior change or implementation theories, support implementation in real world settings. However, injury prevention programs for youth athletes have typi
Externí odkaz:
https://doaj.org/article/64bc5240c3e04346b7fef37bc88aa3f0
Autor:
Bunke, Ulrich, Ludewig, Matthias
We describe a symmetry breaking construction in coarse geometry which allows to obtain information about equivariant coarse homology classes by restriction to smaller groups and spaces. In the case of equivariant coarse $K$-homology theory we give an
Externí odkaz:
http://arxiv.org/abs/2112.11535
Autor:
Bunke, Ulrich
We derive the Pimsner-Voiculescu sequence calculating the K-theory of a $C^{*}$- algebra with $\mathbb{Z}$-action using constructions with equivariant coarse K-homology theory. We then investigate to which extend this idea extends to more general equ
Externí odkaz:
http://arxiv.org/abs/2112.09991
We show the Farrell-Jones conjecture with coefficients in left-exact $\infty$-categories for finitely $\mathcal{F}$-amenable groups and, more generally, Dress-Farrell-Hsiang-Jones groups. Our result subsumes and unifies arguments for the K-theory of
Externí odkaz:
http://arxiv.org/abs/2111.02490
We construct a natural transformation between two versions of $G$-equivariant $K$-homology with coefficients in a $G$-$C^{*}$-category for a countable discrete group $G$. Its domain is a coarse geometric $K$-homology and its target is the usual analy
Externí odkaz:
http://arxiv.org/abs/2107.02843