Affine Representations of Grothendieck Groups and Applications to Rickart C*-Algebras and Aleph O-Continuous Regular Rings.
- 1st ed.
- 1 online resource (174 pages)
- Memoirs of the American Mathematical Society ; v.26 .
- Memoirs of the American Mathematical Society .
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.
9781470406387
Associative rings. Grothendieck groups. Representations of groups. C*-algebras. Von Neumann regular rings.