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Classification of Direct Limits of Even Cuntz-Circle Algebras
Huaxin Lin and N. Christopher Phillips, University of Oregon, Eugene, OR
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Memoirs of the American Mathematical Society
1996; 116 pp; softcover
Volume: 118
ISBN-10: 0-8218-0403-0
ISBN-13: 978-0-8218-0403-2
List Price: US$41
Individual Members: US$24.60
Institutional Members: US$32.80
Order Code: MEMO/118/565
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In this book, the authors prove a classification theorem for purely infinite simple \(C^\ast\)-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.

Readership

Graduate students, research mathematicians, and physicists interested in operator algebras.

Table of Contents

  • Introduction
  • Approximately absorbing homomorphisms
  • Homotopies of asymptotic morphisms
  • Approximate unitary equivalence of homomorphisms
  • The existence theorem
  • The main results
  • References
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