U. Bunke

activity

19942024

most citedOn the topology of T-duality

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

collaborators

92 papers

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.OA2023★ 2 cited

A survey on operator $K$ -theory via homotopical algebra

Ulrich Bunke, Markus Land, Ulrich Pennig

This is a survey article with the goal to advertise spectrum valued versions of $K$ - and $K K$ - theory for $C^{*}$ -algebras via a (stable and symmetric monoidal) $\infty$ -categorica…

math.OA2023

$K$ -theory of crossed products via homotopy theory

Ulrich Bunke

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 $K (A ⋊_{r} G)$ from the $K$ -theory spectr…

math.AT2023

Coarse geometry

Ulrich Bunke

This is a survey on coarse geometry with an emphasis on coarse homology theories.

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.OA2021

The coarse Pimsner-Voiculescu sequence

Ulrich Bunke

We derive the Pimsner-Voiculescu sequence calculating the K-theory of a $C^{*}$ - algebra with $Z$ -action using constructions with equivariant coarse K-homology theory. We…

E-theory is compactly assembled

A survey on operator K-theory via homotopical algebra

K-theory of crossed products via homotopy theory

Coarse geometry

KK- and E-theory via homotopy theory

The coarse Pimsner-Voiculescu sequence

$E$ -theory is compactly assembled

A survey on operator $K$ -theory via homotopical algebra

$K$ -theory of crossed products via homotopy theory