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On the Classification of C-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras Over Non-hausdorff Graphs
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On the Classification of C-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras Over Non-hausdorff Graphs (Paperback)

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Synopsis

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.

Science & MathematicsMathematicsAlgebraScience & MathematicsMathematicsCalculus & mathematical analysisFunctional analysis & transformsScience & MathematicsMathematicsTopologyAlgebraic topology Publisher: American Mathematical Society Publication Date: 15/04/1995 ISBN-13: 9780821826072  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 3-5 weeks.  

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