A similarity degree characterization of nuclear C*-algebras Academic Article uri icon

abstract

  • We show that a C*-algebra A is nuclear iff there is a number < 3 and a constant K such that, for any bounded homomorphism u: A B(H there is an isomorphism : H H satisfying -1 Ku and such that -1u(.) is a *-homomorphism. In other words, an infinite dimensional A is nuclear iff its length (in the sense of our previous work on the Kadison similarity problem) is equal to 2. 2006 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.

published proceedings

  • PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

author list (cited authors)

  • Pisier, G.

citation count

  • 14

complete list of authors

  • Pisier, Gilles

publication date

  • September 2006