TY  - BOOK
AU  - Goodearl,K.R.
AU  - Handelman,D.E.
AU  - Lawrence,J.W.
TI  - Affine Representations of Grothendieck Groups and Applications to Rickart C*-Algebras and Aleph O-Continuous Regular Rings
T2  - Memoirs of the American Mathematical Society
SN  - 9781470406387
AV  - QA251.5 -- .G66 1980eb 
U1  - 510 s;512/.4 
PY  - 1980///
CY  - Providence
PB  - American Mathematical Society
KW  - Associative rings
KW  - Grothendieck groups
KW  - Representations of groups
KW  - C*-algebras
KW  - Von Neumann regular rings
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113651
ER  -