The remarkable work of L. G. Brown, R. Douglas and P. Fillmore on operators with compact self-commutators once again ties together algebraic topology and operator theory. This paper gives a comprehensive treatment of certain aspects of that connection and some adjacent topics. In anticipation that both operator theorists and topologists may be interested in this work, additional background material is included to facilitate access.
Algebra | Geometry and Topology
J. Kaminker and C. Schochet, K-theory and Steenrod homology: Applications to the Brown-Douglas-Fillmore theory of operator algebras, Transactions of the American Mathematical Society 227 (1977), 63-107.