4 papers
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-P…
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…
Spectral Sequence Computation of Higher Twisted -Groups of
David E. Evans, Ulrich Pennig
Motivated by the Freed-Hopkins-Teleman theorem we study graded equivariant higher twists of -theory for the groups induced by exponential functors. We compute the ra…
G-kernels and Crossed Modules
Sergio Girón Pacheco, Masaki Izumi, Ulrich Pennig
We develop a unified framework based on topological crossed modules for various lifting obstructions for -kernels. It allows us to identify actions, cocycle actions and -ke…