Central Sequences in Subhomogeneous Unital C*-algebras
Operator Algebras
2020-07-21 v2
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.
Keywords
Cite
@article{arxiv.2005.09239,
title = {Central Sequences in Subhomogeneous Unital C*-algebras},
author = {Don Hadwin and Hemant Pendharkar},
journal= {arXiv preprint arXiv:2005.09239},
year = {2020}
}