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Topological entropy, embeddings and unitaries in nuclear quasidiagonal  -algebras
Author(s):
Nathanial
P.
Brown
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2603-2609.
MSC (1991):
Primary 46L05, 46L80, 46L55
Posted:
March 1, 2000
MathSciNet review:
1664305
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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.
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Additional Information:
Nathanial
P.
Brown
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1901
Address at time of publication:
Department of Mathematics, University of California-Berkeley, Berkeley, California 94720
Email:
nbrown@math.purdue.edu
DOI:
10.1090/S0002-9939-00-05329-6
PII:
S 0002-9939(00)05329-6
Keywords:
Topological entropy,
(generalized) inductive limits,
inner automorphisms,
embeddings
Received by editor(s):
October 14, 1998
Posted:
March 1, 2000
Additional Notes:
This work was partially supported by an NSF Dissertation Enhancement Award
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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