This work shows that K-theoretic data is a complete invariant for certain inductive limit C]*-algebras. C]*-algebras of this kind are useful in studying group actions. Su gives a K-theoretic classification of the real rank zero C]*-algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs or Hausdorff one-dimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs to be real rank zero.
Introduction Small spectrum variation Perturbation Approximate intertwining Asymptotic characterization Existence Uniqueness Classification Applications References.
Series: Memoirs of the American Mathematical Society
Number Of Pages: 83
Published: January 1995
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 25.4 x 17.78
Weight (kg): 0.18