Affine Representations of Grothendieck Groups and Applications to Rickart C*-Algebras and Aleph O-Continuous Regular Rings.
Goodearl, K.R.
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.
Electronic books.
QA251.5 -- .G66 1980eb
510 s;512/.4
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.
Electronic books.
QA251.5 -- .G66 1980eb
510 s;512/.4