Preprints

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

Bunke, Ulrich; Land, Markus; Pennig, Ulrich

**Spectral Sequence Computation of Higher Twisted K-groups of SU(n)**

Evans, David E.; Pennig, Ulrich

**Bundles of strongly self-absorbing C*-algebras with a Clifford grading**

Dadarlat, Marius; Pennig, Ulrich

**Twisted K-theory with coefficients in C*-algebras**

Pennig, Ulrich

Publications

**Computing cohomology groups that classify bundles of strongly self-absorbing C*-algebras**

Dadarlat, Marius; McClure, James E.; Pennig, Ulrich

accepted for publication in

*Journal of Topology and Analysis*

**Interleaving Mayer-Vietoris spectral sequences**

Torras, Álvaro; Pennig, Ulrich

accepted for publication in

*Algebraic & Geometric Topology*

**Equivariant higher Dixmier-Douady Theory for circle actions on UHF-algebras**

Evans, David; Pennig, Ulrich

*Adv. Math., Vol. 410 (2022), 108745, doi: 10.1016/j.aim.2022.108745*

**Equivariant higher twisted K-theory of SU(n) for exponential functor twists**

Evans, David E.; Pennig, Ulrich

*J. Topology (2022), 15: 896-949, doi:10.1112/topo.12219*

**Exponential Functors, R-matrices and Twists**

Pennig, Ulrich

*Algebraic & Geometric Topology 20 (2020) 1279–1324, doi:*10.2140/agt.2020.20.1279

**Yang-Baxter representations of the infinite symmetric group**

Lechner, Gandalf; Pennig, Ulrich; Wood, Simon

*Adv. Math.*,

*Vol. 355, 2019, 106769, doi:*10.1016/j.aim.2019.106769

**Connective C*-algebras**

Dadarlat, Marius; Pennig, Ulrich

*J. Funct. Anal. (2017), Vol 272, Issue 12; doi:*10.1016/j.jfa.2017.02.009

**Locally trivial W*-bundles**

Evington, Samuel; Pennig, Ulrich

*Int. J. Math. (2016)*, Vol. 27, Issue 11;

*doi*: 10.1142/S0129167X16500889

**Deformations of Wreath Products**

Dadarlat, Marius; Pennig, Ulrich; Schneider, Andrew.

*Bull. London Math. Soc., Vol. 49, Issue 1; doi:*10.1112/blms.12008

**Crossed module actions on continuous trace C*-algebras**

Meyer, Ralf; Pennig, Ulrich

*Comm. Math. Phys. (2016)*, 346(1), 115-142

*; doi:*10.1007/s00220-016-2638-3

**Deformations of nilpotent groups and homotopy symmetric C*-algebras**

Dadarlat, Marius; Pennig, Ulrich

Math. Ann. (2017) 367: 121;

*doi: 10.1007/s00208-016-1379-0*

**A noncommutative model for higher twisted K-theory**

Pennig, Ulrich

*J. Topology (2016) 9 (1): 27-50; doi: 10.1112/jtopol/jtv033*

**A Dixmier-Douady theory for strongly self-absorbing C*-algebras II: the Brauer group**

Dadarlat, Marius; Pennig, Ulrich

*J. Noncommut. Geom. 9 (2015), no. 4, 1137 - 1154*

**Unit spectra of K-theory from strongly self-absorbing C*-algebras**

Dadarlat, Marius; Pennig, Ulrich

*Algebraic and Geometric Topology 15 (2015), no. 1, 137 - 168*.

**Twisted K-theory and obstructions against positive scalar curvature metrics**

Pennig, Ulrich

*Journal of K-Theory 14 (2014), 47 - 71*

**A Dixmier-Douady theory for strongly self-absorbing C*-algebras**

Dadarlat, Marius; Pennig, Ulrich

*J. Reine Angew. Mathematik; doi: 10.1515/crelle-2014-0044*

**Quasi-multipliers of Hilbert and Banach C*-bimodules**

Pavlov, Alexander; Pennig, Ulrich; Schick, Thomas Schick

*Math. Scand. 109 (2011), no. 1, 71 - 92.*

**The classification of non-local chiral CFT with c < 1**

Kawahigashi, Yasuyuki; Longo, Roberto; Pennig, Ulrich; Rehren, Karl-Henning

*Comm. Math. Phys. 271 (2007), no. 2, 375 - 385.*

Lecture Notes

**Algebraic Topology**

This is the link to lecture notes for the algebraic topology course I gave in the Spring Semester 2017 at Cardiff University.

**K-Theorie und die Hopf-Invariante**

These are the notes (in german) for the lecture "K-Theory and the Hopf invariant" I gave in Münster in the Summer Semester 2015.

Slides

**Bundles of C*-Algebras - An introduction to Dixmier-Douady Theory**

Slides of a talk I gave in the NYC Noncommutative Geometry Seminar

16th February 2022

**Equivariant higher Dixmier-Douady theory for circle actions**

Slides of a talk I gave in the Oberseminar Globale Analysis

9th February 2022, Universität Regensburg via Zoom

**Fell bundles, Dixmier-Douady theory and higher twists**

Slides of a talk I gave in the workshop Actions of Tensor Categories on C*-Algebras

January, 28th 2021, Institute for Pure and Applied Mathematics (IPAM) via Zoom

**Bundles of C*-Algebras - An introduction to Dixmier-Douady Theory**

Slides of a talk I gave in the UK Virtual Operator Algebras Seminar 2020 on Zoom

13th August 2020

**Loops, Groups and Twists - The role of K-theory in mathematical physics**

Slides of a talk I gave at the Pure Maths Colloquium in Southampton

October 11th, 2019, Southampton

**Waldhausen's**

**$S_•$**

**-construction**

Handwritten notes (in german) of a talk about simplicial sets, spaces and categories and the $S_•$-construction. This was the teaching examination part of my habilitation.

July 11th, 2016, Münster

**The Erdös-Szekeres Convex Polygon Problem**

Slides of my habilitation colloquium talk about Andrew Suk's improvements on the Erdös-Szekeres Convex Polygon Problem.

The ideas contained in the proof are entirely his, all mistakes and typos on the slides are my fault.

July 13th, 2016, Münster

**Units of K-Theory via strongly self-absorbing C*-algebras**

Conference "Twists, generalised cohomology and applications"

October 14th to 18th, 2013, Münster

**Notes of a talk about the same topic in the topology seminar at Berkeley**

**C*-algebras**

Notes of an introductory talk about C*-algebras and their K-theory

talk at the topology seminar at Berkeley

**Modular tensor categories from quantum doubles of finite groups**

Notes about the representation category of the quantum double of finite groups

Lecture about "Topological Quantum Field Theories" during the winter semester 2011

**Gauge theory with finite gauge group**

Notes about Dijkgraaf-Witten theory in two dimensions, based on the paper by Freed and Quinn

Lecture about "Topological Quantum Field Theories" during the winter semester 2011

**A Non-commutative Model for Higher Twisted K-Theory**

Slides of a talk that I gave during the 31st Summer Conference on Topology and its Applications in Leicester

in the section "Topological Methods in Algebra and Analysis"

**Von Neumann algebras in physics: a rough sketch of algebraic quantum field theory**

Seminar about "Von Neumann Algebras" organized by Raimar Wulkenhaar and me

**Von Neumann algebras and the Connes fusion tensor product**

Winter school "From field theories to elliptic objects"

February 28th to March 4th, 2006, Schloss Mickeln, Düsseldorf

Habilitation, Dissertation, Diploma Thesis and all that...