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Affine Representations of Grothendieck Groups and Applications to Rickart C*-Algebras and Aleph O-Continuous Regular Rings.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1980Copyright date: ©1980Edition: 1st edDescription: 1 online resource (174 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406387
Subject(s): Genre/Form: Additional physical formats: Print version:: Affine Representations of Grothendieck Groups and Applications to Rickart C*-Algebras and Aleph O-Continuous Regular RingsDDC classification:
  • 510 s;512/.4
LOC classification:
  • QA251.5 -- .G66 1980eb
Online resources:
Contents:
Intro -- Table of Contents -- Introduction -- I. Partially Ordered Abelian Groups with Countable Interpolation -- I.1. Interpolation and Countable Interpolation -- I.2. State Spaces -- I.3. Projection Bases -- I.4. Dedekind ℵ…Complete Lattice…Ordered Groups -- I.5. Archimedean Groups -- I.6. Norm-Completeness -- I.7. Quotient Groups, Directed Convex Subgroups, and Closed Faces -- I.8. Compact Sets of Extreme States -- I.9. The Affine Function Representations -- II. ℵ…Continuous Regular Rings -- II.10. K[sub(O)] of Unit-Regular Rings -- II.11. ℵ…Continuity -- II.12. Countable Interpolation -- II.13. Compact Subsets of P(R) -- II.14. Comparability -- II.15. The Affine Function Representation of K[sub(O)](R) -- III. Finite Rickart C*-Algebras -- III.16. Matrix Rings -- III.17. Hormorphic Images -- IV. Examples -- References -- Index of Definitions.
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Intro -- Table of Contents -- Introduction -- I. Partially Ordered Abelian Groups with Countable Interpolation -- I.1. Interpolation and Countable Interpolation -- I.2. State Spaces -- I.3. Projection Bases -- I.4. Dedekind ℵ…Complete Lattice…Ordered Groups -- I.5. Archimedean Groups -- I.6. Norm-Completeness -- I.7. Quotient Groups, Directed Convex Subgroups, and Closed Faces -- I.8. Compact Sets of Extreme States -- I.9. The Affine Function Representations -- II. ℵ…Continuous Regular Rings -- II.10. K[sub(O)] of Unit-Regular Rings -- II.11. ℵ…Continuity -- II.12. Countable Interpolation -- II.13. Compact Subsets of P(R) -- II.14. Comparability -- II.15. The Affine Function Representation of K[sub(O)](R) -- III. Finite Rickart C*-Algebras -- III.16. Matrix Rings -- III.17. Hormorphic Images -- IV. Examples -- References -- Index of Definitions.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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