Computing cohomology groups that classify bundles of strongly self-absorbing C∗-algebras

Locally trivial bundles of Formula: see text-algebras with fiber Formula: see text for a strongly self-absorbing Formula: see text-algebra Formula: see text over a finite CW-complex Formula: see text form a group Formula: see text that is the first group of a cohomology theory Formula: see text. In this paper, we compute these groups by expressing them in terms of ordinary cohomology and connective Formula: see text-theory. To compare the Formula: see text-algebraic version of Formula: see text with its classical counterpart we also develop a uniqueness result for the unit spectrum of complex periodic topological Formula: see text-theory.