Tensor products and regularity properties of Cuntz semigroups

Tensor products and regularity properties of Cuntz semigroups / Ramon Antoine, Francesc Perera, Hannes Thiel.

The Cuntz semigroup of a C^*-algebra is an important invariant in the structure and classification theory of C^*-algebras. It captures more information than K-theory but is often more delicate to handle. The authors systematically study the lattice and category theoretic aspects of Cuntz semigroups....

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Bibliographic Details
Main Authors: Antoine, Ramon, 1973- (Author), Perera, Francesc, 1970- (Author), Thiel, Hannes, 1982- (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1199.
Subjects:
C*-algebras.
Tensor products.
Tensor algebra.
Semigroups.
MATHEMATICS > Algebra > Intermediate.
Álgebra tensorial
Semigrupos
C*-algebras
Semigroups
Tensor algebra
Tensor products
Online Access:Click for online access
Table of Contents:
  • Chapter 1. Introduction Chapter 2. Pre-completed Cuntz semigroups Chapter 3. Completed Cuntz semigroups Chapter 4. Additional axioms Chapter 5. Structure of \texorpdfstring$\CatCu $Cu-semigroups Chapter 6. Bimorphisms and tensor products Chapter 7. \texorpdfstring$\CatCu $Cu-semirings and \texorpdfstring$\CatCu $Cu-semimodules Chapter 8. Structure of \texorpdfstring$\CatCu $Cu-semirings Chapter 9. Concluding remarks and open problems Appendix A. Monoidal and enriched categories Appendix B. Partially ordered monoids, groups and rings.

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