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Seminar

A new homology theory on rings: the stabilized Witt groups

Karoubi, M (Universite Paris 7 - Denis Diderot)
Wednesday 02 August 2006, 09:00-10:00

Seminar Room 1, Newton Institute

Abstract

We define a new homology theory defined on discrete rings with involution (even when 2 is not invertible). This theory sastisfies excision, homotopy invariance, periodicity (of period 4) and other nice properties. It is closely related to Balmer's theory and to surgery groups. When A is a real or complex C*-algebra, we recover topological K-theory (up to 2-torsion).

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