U. Pennig

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20242026

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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 $I^$ -kernels admit a cohomological description via topological crossed modules, as recently developed by Izumi, Giron-P…

math.AT2026

Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory

Ãlvaro 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 $Z / p Z$ -equivariant $K$ -theory and bundles of UHF-algebras

Valerio Bianchi, Ulrich Pennig

We consider infinite tensor product actions of $G = Z / p Z$ on the UHF-algebra $D = End (V)^{\otimes \infty}$ for a finite-dimensional unitary $G$ -representat…

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

Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory

Units of Z/pZ-equivariant K-theory and bundles of UHF-algebras

Units of $Z / p Z$ -equivariant $K$ -theory and bundles of UHF-algebras