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:
Online Access:Click for online access

MARC

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100 1 |a Antoine, Ramon,  |d 1973-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjM8tyBrpDCFVWkQ9mhpGd 
245 1 0 |a Tensor products and regularity properties of Cuntz semigroups /  |c Ramon Antoine, Francesc Perera, Hannes Thiel. 
264 1 |a Providence, RI :  |b American Mathematical Society,  |c [2018] 
264 4 |c ©2017 
300 |a 1 online resource (viii, 191 pages) :  |b illustrations 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 251, number 1199 
588 0 |a Print version record. 
500 |a "January 2018, volume 251, number 1199 (sixth of 6 numbers)." 
504 |a Includes bibliographical references (pages 181-185) and indexes. 
505 0 0 |t Chapter 1. Introduction  |t Chapter 2. Pre-completed Cuntz semigroups  |t Chapter 3. Completed Cuntz semigroups  |t Chapter 4. Additional axioms  |t Chapter 5. Structure of \texorpdfstring$\CatCu $Cu-semigroups  |t Chapter 6. Bimorphisms and tensor products  |t Chapter 7. \texorpdfstring$\CatCu $Cu-semirings and \texorpdfstring$\CatCu $Cu-semimodules  |t Chapter 8. Structure of \texorpdfstring$\CatCu $Cu-semirings  |t Chapter 9. Concluding remarks and open problems  |t Appendix A. Monoidal and enriched categories  |t Appendix B. Partially ordered monoids, groups and rings. 
520 |a 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. Given a C^*-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. 
650 0 |a C*-algebras. 
650 0 |a Tensor products. 
650 0 |a Tensor algebra. 
650 0 |a Semigroups. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Álgebra tensorial  |2 embne 
650 0 7 |a Semigrupos  |2 embucm 
650 7 |a C*-algebras  |2 fast 
650 7 |a Semigroups  |2 fast 
650 7 |a Tensor algebra  |2 fast 
650 7 |a Tensor products  |2 fast 
700 1 |a Perera, Francesc,  |d 1970-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJcc7JyQPG8hKfbD7vrrMP 
700 1 |a Thiel, Hannes,  |d 1982-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjDRrJWhxd3RjjFHKhHhDy 
710 2 |a American Mathematical Society,  |e publisher. 
758 |i has work:  |a Tensor products and regularity properties of Cuntz semigroups (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCH3KqgcPP8RVmbvBBpCHwd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Antoine, Ramon, 1973-  |t Tensor products and regularity properties of Cuntz semigroups.  |d Providence, RI : AMS, American Mathematical Society, [2018]  |z 9781470427979  |w (DLC) 2017054246  |w (OCoLC)1021055047 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1199. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=5346258  |y Click for online access 
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