Laurent W. Marcoux - Unitarily-invariant linear spaces in -algebras

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Laurent W. Marcoux - Unitarily-invariant linear spaces in $C^\ast$ -algebras

	LAURENT W. MARCOUX, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
	Unitarily-invariant linear spaces in $C^\ast$ -algebras

In this talk we will present some characterisations and containment results for linear subspaces of unital $C^\ast$ -algebras that are invariant under conjugation by sets of unitary elements of the algebra. As an example, the linear span of the projections in a simple, unital $C^\ast$ -algebra having non-scalar projections is shown to contain all additive commutators of the algebra and, in certain cases (for example-- $\textrm{UHF}$ $C^\ast$ -algebras), to be equal to the algebra. This is joint work with Gerard Murphy of University College Cork.

eo@camel.math.ca