Central sequences in subhomogeneous unital C*-algebras

Authors

  • D. Hadwin University of New Hampshire
  • H. Pendharkar University of South Florida

Keywords:

central sequence, hypercentral sequence, subhomogeneous, C*- algebra.

Abstract

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.

Author Biographies

D. Hadwin, University of New Hampshire

Professor of Mathematics Department of Mathematics

H. Pendharkar, University of South Florida

Professor of Mathematics Department of Mathematics and Statistics

Published

2021-03-13

Issue

Vol. 103 No. 2 (2021)

Section

Articles
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