Topological crossed modules unify cohomological invariants of G-kernels; for strongly self-absorbing algebras the crossed-module classifying space is equivalent to the bundle-theoretic one and a restricted cohomology set is isomorphic to a homotopy set.
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G-kernels and Crossed Modules
Topological crossed modules unify cohomological invariants of G-kernels; for strongly self-absorbing algebras the crossed-module classifying space is equivalent to the bundle-theoretic one and a restricted cohomology set is isomorphic to a homotopy set.