New Titles  |  FAQ  |  Keep Informed  |  Review Cart  |  Contact Us Quick Search (Advanced Search ) Browse by Subject General Interest Logic & Foundations Number Theory Algebra & Algebraic Geometry Discrete Math & Combinatorics Analysis Differential Equations Geometry & Topology Probability & Statistics Applications Mathematical Physics Math Education
Return to List  Item: 1 of 1
On the Classification of $$C^*$$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs
 SEARCH THIS BOOK:
Memoirs of the American Mathematical Society
1995; 83 pp; softcover
Volume: 114
ISBN-10: 0-8218-2607-7
ISBN-13: 978-0-8218-2607-2
List Price: US$41 Individual Members: US$24.60
Institutional Members: US\$32.80
Order Code: MEMO/114/547

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.

Operator algebraists and functional analysts.