Classification of Nuclear C*-Algebras. Entropy in Operator Algebras

By M. Rørdam, E. Størmer. 2001

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Localizing the Elliott conjecture at strongly self-absorbing C*-algebras (2007, methodology): “O A ] 1 1 Se p Our main result is formulated in a more general way; this allows us to outline a strategy to possibly remove the trace space condition as well as the K-theory restriction entirely.”
C ∗ -algebras over topological spaces: the bootstrap class (2007, background): “Stability is not part of the assertion in [18], but can be achieved by tensoring with the compact operators, without destroying the other properties.”
Strongly self-absorbing *-dynamical systems (2015, methodology): “…b = 1 B in Lemma 2.3, we obtain the following unital variant: Let B be unital and let We are now going to prove an equivariant McDuﬀ-type absorption result in the unital case, modelling the well-known McDuﬀ-type results [47, 7.2.2], [50, 2.3] or [26, 4.11] from the non-equivariant setting.”