activity
20052026
most citedA Dixmier-Douady theory for strongly self-absorbing C*-algebras

33 citations · 143 across the 27 of their papers we have counts for

collaborators
Showing math.ATShow all

6 papers · 1 filter

math.AT2026

Infinite Loop Spaces and Group Actions on Strongly Self-Absorbing C*-Algebras

Ulrich Pennig, George Tridimas

Lifting obstructions for group actions, cocycle actions, and -kernels admit a cohomological description via topological crossed modules, as recently developed by Izumi, Giron-Pa…

math.AT2025

Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory

Álvaro Torras-Casas, Ka Man Yim, Ulrich Pennig

Given a poset-graded chain complex of vector spaces, a Conley complex is the minimal chain-homotopic reduction of the initial complex that respects the poset grading. A connection…

math.AT2024

Units of -equivariant -theory and bundles of UHF-algebras

Valerio Bianchi, Ulrich Pennig

We consider infinite tensor product actions of a finite cyclic group on the UHF-algebra for a finite-dimensional projectively faithful unit…

math.AT2021

Interleaving Mayer-Vietoris spectral sequences

Álvaro Torras, Ulrich Pennig

We discuss the Mayer-Vietoris spectral sequence as an invariant in the context of persistent homology. In particular, we introduce the notion of -acyclic carriers and…

math.AT2018★ 2 cited

Exponential Functors, R-Matrices and Twists

Ulrich Pennig

In this paper we show that each polynomial exponential functor on complex finite-dimensional inner product spaces is defined up to equivalence of monoidal functors by an involutive…

math.AT2013★ 10 cited

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

Marius Dadarlat, Ulrich Pennig

We give an operator algebraic model for the first group of the unit spectrum of complex topological K-theory, i.e. , by bundles of stabilized infinite Cu…