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Dimensions and \(C^\ast\)-Algebras
Edward G. Effros
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1981; 80 pp; softcover
Number: 46
Reprint/Revision History:
reprinted 1996
ISBN-10: 0-8218-1697-7
ISBN-13: 978-0-8218-1697-4
List Price: US$20
Member Price: US$16
All Individuals: US$16
Order Code: CBMS/46
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This book is largely devoted to the most elementary algebras and \(C^*\)-algebras, namely those which are direct limits of complex semisimple algebras.

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Table of Contents

  • Notations
  • Nonintegral dimensions and indices in analysis and geometry
  • Locally semisimple algebras and their Bratteli diagrams
  • The characterization of the dimension groups
  • Affine representations of simple dimension groups
  • Finite difference equations and continued fractions
  • Stationary systems, algebraic number theory, and Williams' problem
  • Scales and dimensions for locally semisimple algebras
  • The \(K_0\) theory of \(C^*\)-algebras
  • An application of the Bott Periodicity Theorem
  • Further developments and problems
  • References
  • Index
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