U. Bunke

activity

19942024

most citedOn the topology of T-duality

38 citations · 494 across the 89 of their papers we have counts for

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34 papers · 1 filter

math.KT2024★ 2 cited

$E$ -theory is compactly assembled

Ulrich Bunke, Benjamin Duenzinger

We show that the equivariant $E$ -theory category $E_{sep}^{G}$ for separable $C^{*}$ -algebras is a compactly assembled stable $\infty$ -category. We derive this re…

math.KT2023★ 3 cited

KK- and E-theory via homotopy theory

Ulrich Bunke

We provide a homotopy theorist's point of view on $K K$ - and $E$ -theory for $C^{*}$ -algebras. We construct stable $\infty$ -categories representing these theories through a sequence…

math.KT2021

On the Farrell-Jones conjecture for localising invariants

Ulrich Bunke, Daniel Kasprowski, Christoph Winges

We show the Farrell-Jones conjecture with coefficients in left-exact $\infty$ -categories for finitely $F$ -amenable groups and, more generally, Dress-Farrell-Hsiang-Jones…

math.KT2020★ 6 cited

Topological equivariant coarse K-homology

Ulrich Bunke, Alexander Engel

For a $C^{*}$ -category with a strict $G$ -action we construct examples of equivariant coarse homology theories. To this end we first introduce versions of Roe categories of objects…

math.KT2020★ 4 cited

Additive C*-categories and K-theory

Ulrich Bunke, Alexander Engel

We review the notions of a multiplier category and the $W^{*}$ -envelope of a $C^{*}$ -category. We then consider the notion of an orthogonal sum of a (possibly infinite) family of o…

math.KT2019★ 6 cited

Controlled objects in left-exact $\infty$ -categories and the Novikov conjecture

Ulrich Bunke, Denis-Charles Cisinski, Daniel Kasprowski +1

We associate to every $G$ -bornological coarse space $X$ and every left-exact $\infty$ -category with $G$ -action a left-exact infinity-category of equivariant $X$ -controlled objects.…