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C * -reflexivity doesn’t pass to quotients. (English) Zbl 1227.46040
Summary: Using a recently obtained criterion of C * -reflexivity for commutative C * -algebras, we show that the C * -algebra of continuous functions on the Higson corona is not C * -reflexive. This implies that C * -reflexivity does not pass to quotient C * -algebras.
MSC:
46L08C * -modules
54D99Fairly general properties of topological spaces