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arXiv · 2005.09239

Central Sequences in Subhomogeneous Unital C*-algebras

Don Hadwin·Hemant Pendharkar
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Abstract

Suppose A is a unital subhomogeneous C*-algebra. We show that every central sequence in 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 A is trivial if and only if every pointwise limit of irreducible representations is irreducible. We also give a nice repesentation of the latter algebras.

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Don Hadwin, Hemant Pendharkar. 2020-05-19. Central Sequences in Subhomogeneous Unital C*-algebras. https://arxiv.org/abs/2005.09239

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