𝐾-theory and Steenrod homology: applications to the Brown-Douglas-Fillmore theory of operator algebras

Kaminker, Jerome; Schochet, Claude

doi:10.1090/S0002-9947-1977-0431136-9

$K$-theory and Steenrod homology: applications to the Brown-Douglas-Fillmore theory of operator algebras
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by Jerome Kaminker and Claude Schochet PDF

Trans. Amer. Math. Soc. 227 (1977), 63-107 Request permission

Abstract:

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.

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