publications

publications by categories in reversed chronological order. generated by jekyll-scholar.

preprints

2026

  1. Preprint
    Infinite Loop Spaces and Group Actions on Strongly Self-Absorbing \(C^*\)-Algebras
    Ulrich Pennig and George Tridimas
    2026
    arXiv

2025

  1. Preprint
    G-kernels and Crossed Modules
    Sergio Girón Pacheco, Masaki Izumi, and Ulrich Pennig
    2025
    arXiv
  2. Preprint
    Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
    Álvaro Torras-Casas, Ka Man Yim, and Ulrich Pennig
    2025
    arXiv

2024

  1. Preprint
    Units of \(\mathbb Z/p\mathbb Z\)-equivariant K-theory and bundles of UHF-algebras
    Valerio Bianchi and Ulrich Pennig
    2024
    arXiv

2023

  1. Preprint
    A survey on operator K-theory via homotopical algebra
    Ulrich Bunke, Markus Land, and Ulrich Pennig
    2023
    arXiv

2011

  1. Preprint
    Twisted K-theory with coefficients in \(C^*\)-algebras
    Ulrich Pennig
    2011
    arXiv

journal articles

2025

  1. CAMS
    Spectral sequence computation of higher twisted \(K\)-groups of \(SU(n)\)
    David Evans and Ulrich Pennig
    Commun. Am. Math. Soc., 2025
    DOI arXiv
  2. JTA
    Computing cohomology groups that classify bundles of strongly self-absorbing \(C^*\)-algebras
    Marius Dadarlat, James E. McClure, and Ulrich Pennig
    J. Topol. Anal., 2025
    DOI arXiv
  3. JMSJ
    Bundles of strongly self-absorbing \(C^*\)-algebras with a Clifford grading
    Marius Dadarlat and Ulrich Pennig
    J. Math. Soc. Japan, 2025
    Awarded the Outstanding Paper Prize of the Journal of the Mathematical Society of Japan
    DOI arXiv

2024

  1. IMRN
    Spanier–Whitehead K-Duality and Duality of Extensions of \(C^*\)-Algebras
    Ulrich Pennig and Taro Sogabe
    Int. Math. Res. Not. IMRN, 2024
    DOI arXiv
  2. AGT
    Interleaving Mayer–Vietoris spectral sequences
    Álvaro Torras-Casas and Ulrich Pennig
    Algebr. Geom. Topol., 2024
    DOI arXiv

2022

  1. Adv. Math.
    Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras
    David E. Evans and Ulrich Pennig
    Adv. Math., 2022
    DOI arXiv
  2. J. Topology
    Equivariant higher twisted \(K\)-theory of \(SU(n)\) for exponential functor twists
    David E. Evans and Ulrich Pennig
    J. Topol., 2022
    DOI arXiv

2020

  1. AGT
    Exponential functors, \(R\)-matrices and twists
    Ulrich Pennig
    Algebr. Geom. Topol., 2020
    DOI arXiv

2019

  1. Adv. Math.
    Yang-Baxter representations of the infinite symmetric group
    Gandalf Lechner, Ulrich Pennig, and Simon Wood
    Adv. Math., 2019
    DOI arXiv

2017

  1. JFA
    Connective \(C^*\)-algebras
    Marius Dadarlat and Ulrich Pennig
    J. Funct. Anal., 2017
    DOI arXiv
  2. Math. Ann.
    Deformations of nilpotent groups and homotopy symmetric \(C^*\)-algebras
    Marius Dadarlat and Ulrich Pennig
    Math. Ann., 2017
    DOI arXiv
  3. BLMS
    Deformations of wreath products
    Marius Dadarlat, Ulrich Pennig, and Andrew Schneider
    Bull. Lond. Math. Soc., 2017
    DOI arXiv

2016

  1. Crelle
    A Dixmier-Douady theory for strongly self-absorbing \(C^*\)-algebras
    Marius Dadarlat and Ulrich Pennig
    J. Reine Angew. Math., 2016
    DOI arXiv
  2. IJM
    Locally trivial \(W^*\)-bundles
    Samuel Evington and Ulrich Pennig
    Internat. J. Math., 2016
    DOI arXiv
  3. CMP
    Crossed module actions on continuous trace \(C^*\)-algebras
    Ralf Meyer and Ulrich Pennig
    Comm. Math. Phys., 2016
    DOI arXiv
  4. J. Topology
    A non-commutative model for higher twisted \(K\)-theory
    Ulrich Pennig
    J. Topol., 2016
    DOI arXiv

2015

  1. JNCG
    A Dixmier-Douady theory for strongly self-absorbing \(C^*\)-algebras II: the Brauer group
    Marius Dadarlat and Ulrich Pennig
    J. Noncommut. Geom., 2015
    DOI arXiv
  2. AGT
    Unit spectra of \(K\)-theory from strongly self-absorbing \(C^*\)-algebras
    Marius Dadarlat and Ulrich Pennig
    Algebr. Geom. Topol., 2015
    DOI arXiv

2014

  1. J. K-Theory
    Twisted \(K\)-theory and obstructions against positive scalar curvature metrics
    Ulrich Pennig
    Journal of K-Theory, 2014
    DOI arXiv

2011

  1. Math. Scand.
    Quasi-multipliers of Hilbert and Banach \(C^*\)-bimodules
    Alexander Pavlov, Ulrich Pennig, and Thomas Schick
    Math. Scand., 2011
    DOI arXiv

2007

  1. CMP
    The classification of non-local chiral CFT with \(c<1\)
    Yasuyuki Kawahigashi, Roberto Longo, Ulrich Pennig, and Karl-Henning Rehren
    Comm. Math. Phys., 2007
    Written while the author was an undergraduate in Physics
    DOI arXiv

theses

2015

  1. Habilitation
    Higher twisted \(K\)-theory – The interplay between operator algebras and homotopy theory in \(K\)-theory
    Ulrich Pennig
    2015
    PDF

2009

  1. PhD Thesis
    Twisted K-theory with coefficients in a \(C^*\)-algebra and obstructions against positive scalar curvature metrics
    Ulrich Pennig
    University of Göttingen, Aug 2009
    PDF

2006

  1. Diploma Thesis
    Sektorstruktur und Klassifikation von zweidimensionalen, konformen Quantenfeldtheorien auf dem Halbraum
    Ulrich Pennig
    Mar 2006
    PDF