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Andrew Toms - Perforated K0-groups of
algebras
ANDREW TOMS, Fields Institute, University of Toronto, Toronto, Ontario, Canada |
Perforated K0-groups of ![]() |
Every weakly unperforated ordered abelian group arises as the
K0-group of some simple, separable algebra. What of
perforated abelian groups? In this talk we outline methods for
constructing
algebras having a maximal free cyclic subgroup
of
K0, say H, with the property that
, k and l relatively prime positive integers. The methods
used also provide many other such algebras with subgroups whose
intersection with the positive cone of K0 further extend the
preceding result, though these are less succinctly described.