Topological entropy, embeddings and unitaries in nuclear quasidiagonal -algebras
Authors:
Nathanial P. Brown
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1901
Abstract:
Using topological entropy of automorphisms of -algebras, it is shown that some important facts from the theory of AF algebras do not carry over to the class of 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 algebra need not differ by an (inner) automorphism when they agree on K-theory.