Classification of Nuclear, Simple C*-algebras

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Quasidiagonality of nuclear C*-algebras (2015, unknown): “1”
Homology and topological full groups of étale groupoids on totally disconnected spaces (2009, background): “For the terminologies about ordered abelian groups in the following statement, we refer the reader to [27].”
Subshifts and perforation (2010, background): “Topological dynamics has long been an important source of examples and motivation for the classification theory of amenable C∗-algebras [21, 8].”
Classification of Cuntz-Krieger algebras up to stable isomorphism (2006, background): “He sketched in [5] that it was enough to answer whether O2 and O2− are isomorphic, where O2 resp.”
Crossed products of C*-algebras (2007, background): “This is particularly important today with the intense study of separable, nuclear, purely infinite nuclear C-algebras [89, 90, 128, 152].”