Topological entropy, embeddings and unitaries in nuclear quasidiagonal c*-algebras

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Abstract

Using topological entropy of automorphisms of C*-algebras, it is shown that some important facts from the theory of AF algebras do not carry over to the class of A algebras. It is shown that in general one cannot perturb a basic building block into a larger one which almost contains it. The same entropy obstruction used to prove this fact also provides a new obstruction to the known fact that two injective homomorphisms from a building block into an A algebra need not differ by an (inner) automorphism when they agree on K-theory.

Original languageEnglish (US)
Pages (from-to)2603-2609
Number of pages7
JournalProceedings of the American Mathematical Society
Volume128
Issue number9
DOIs
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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