The similarity degree of some \(C^*\)-algebras

Authors

  • D. Hadwin University of New Hampshire
  • W. Li Mathematics Department Columbia College, Chicago

Keywords:

similarity degree, weakly approximately divisible

Abstract

We define the class of weakly approximately divisible unital \(C^*\)-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any \(C^*\)-algebra, and quotients. A nuclear \(C^*\)-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations. We also show that Pisier's similarity degree of a weakly approximately divisible \(C^*\)-algebra is at most 5. 10.1017/S0004972713000543

Author Biographies

D. Hadwin, University of New Hampshire

Mathematics Department Professor

W. Li, Mathematics Department Columbia College, Chicago

Assistant Professor of Mathematics

Published

2013-12-02

Issue

Vol. 89 No. 1 (2014)

Section

Articles
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