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CENTRAL SEQUENCES IN SUBHOMOGENEOUS UNITAL C*-ALGEBRAS
Published online by Cambridge University Press: 02 October 2020
Abstract
Suppose that
$\mathcal {A}$
is a unital subhomogeneous C*-algebra. We show that every central sequence in
$\mathcal {A}$
is hypercentral if and only if every pointwise limit of a sequence of irreducible representations is multiplicity free. We also show that every central sequence in
$\mathcal {A}$
is trivial if and only if every pointwise limit of irreducible representations is irreducible. Finally, we give a nice representation of the latter algebras.
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- Research Article
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- © 2020 Australian Mathematical Publishing Association Inc.