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University Park
Altoona

Thursday, April 7, 2005
5:10-6:10pm, 122 Pond Lab (UP)

John Roe
Penn State University

Analytic K-homology via controlled topology

Abstract: I will discuss the analytic model for K-homology theory (the homology theory that is dual to Atiyah-Hirzebruch K-theory) introduced by Atiyah and formalized by Kasparov. I will explain how modern work on index theory and controlled topology allows one to interpret this theory in terms of the large scale geometry of certain non-compact spaces, and how this leads to a proof that analytic K-homology satisfies the Eilenberg-Steenrod axioms.

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