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5. Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics

Villadsen idempotents

Cristian Ivănescu
MacEwan University, Edmonton, Canada

Abstract:

J. Villadsen constructed examples now known as Villadsen algebras, which form an exciting class of C*-algebras: it provides examples of C*-algebras for which the K0-group is not weakly unperforated or simple C*-algebras with stable rank other than one. We use Villadsen construction to build a C*-algebra, which is idempotent in the sense that the algebra is isomorphic to its tensor product with itself. The Villadsen algebras are conjectured classifiable by sufficiently many invariants; hence Villdsen idempotents should play an essential role in studying Villdsen algebras. This is joint work with Dan Kucerovsky, UNB.