| Description |
1 online resource (viii, 191 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 251, number 1199 |
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Memoirs of the American Mathematical Society ; no. 1199.
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| 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 |
| Summary |
The Cuntz semigroup of a Ĉ*-algebra is an important invariant in the structure and classification theory of Ĉ*-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. Given a Ĉ*-algebra A, its (concrete) Cuntz semigroup \mathrm{Cu}(A) is an object in the category \mathrm{Cu} of (abstract) Cuntz semigroups, as introduced by Coward, Elliott and Ivanescu. To clarify the distinction between concrete and abstract Cuntz semigroups, the authors call the latter \mathrm |
| Notes |
"January 2018, volume 251, number 1199 (sixth of 6 numbers)." |
| Bibliography |
Includes bibliographical references (pages 181-185) and indexes |
| Notes |
Print version record |
| Subject |
C*-algebras.
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Tensor products.
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Tensor algebra.
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Semigroups.
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MATHEMATICS -- Algebra -- Intermediate.
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Álgebra tensorial
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Semigrupos
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C*-algebras
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Semigroups
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Tensor algebra
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Tensor products
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| Form |
Electronic book
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| Author |
Perera, Francesc, 1970- author.
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Thiel, Hannes, 1982- author.
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American Mathematical Society, publisher
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| ISBN |
1470442825 |
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9781470442828 |
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