Tensor products and regularity properties of Cuntz semigroups:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
January 2018
|
| Series: | Memoirs of the American Mathematical Society
volume 251, number 1199 (sixth of 6 numbers) |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030263276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | viii, 191, 4 ungezählte Seiten |
| ISBN: | 9781470427979 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV044868790 | ||
| 003 | DE-604 | ||
| 005 | 20210922 | ||
| 007 | t| | ||
| 008 | 180315s2018 xx |||| 00||| eng d | ||
| 020 | |a 9781470427979 |c pbk. |9 978-1-4704-2797-9 | ||
| 035 | |a (OCoLC)1028921257 | ||
| 035 | |a (DE-599)BVBBV044868790 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-29T |a DE-355 |a DE-11 | ||
| 084 | |a 06B35 |2 msc | ||
| 084 | |a 15A69 |2 msc | ||
| 084 | |a 06F05 |2 msc | ||
| 084 | |a 46L05 |2 msc | ||
| 100 | 1 | |a Antoine, Ramon |d 1973- |0 (DE-588)1131742133 |4 aut | |
| 245 | 1 | 0 | |a Tensor products and regularity properties of Cuntz semigroups |c Ramon Antoine ; Francesc Perera ; Hannes Thiel |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c January 2018 | |
| 300 | |a viii, 191, 4 ungezählte Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 251, number 1199 (sixth of 6 numbers) | |
| 700 | 1 | |a Perera, Francesc |4 aut | |
| 700 | 1 | |a Thiel, Hannes |0 (DE-588)1131742737 |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v volume 251, number 1199 (sixth of 6 numbers) |w (DE-604)BV008000141 |9 1199 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030263276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-030263276 | |
Record in the Search Index
| _version_ | 1819355195320041472 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. Background 1
1.2. The categories W and Cu 4
1.3. Tensor products 7
1.4. Multiplicative structure of Cu-semigroups. Solid Cu-semirings 8
Acknowledgments 10
Chapter 2. Pre-completed Cuntz semigroups 11
2.1. The categories PreW and W 11
2.2. The pre-completed Cuntz semigroup of a C*-algebra 16
Chapter 3. Completed Cuntz semigroups 21
3.1. The category Cu 21
3.2. The completed Cuntz semigroup of a C*-algebra 27
Chapter 4. Additional axioms 31
Chapter 5. Structure of Cu-semigroups 37
5.1. Ideals and quotients 37
5.2. Functionals 45
5.3. Soft and purely noncompact elements 56
5.4. Predecessors, after Engbers 64
5.5. Algebraic semigroups 67
5.6. Nearly unperforated semigroups 72
Chapter 6. Bimorphisms and tensor products 81
6.1. Tensor product as representing object 82
6.2. The tensor product in PreW 85
6.3. The tensor product in Cu 94
6.4. Examples and Applications 96
Chapter 7. Cu-semirings and Cu-semimodules 105
7.1. Strongly self-absorbing C*-algebras and solid Cu-semirings 107
7.2. Cuntz semigroups of purely infinite C*-algebras 113
7.3. Almost unperforated and almost divisible Cu-semigroups 118
7.4. The rationalization of a semigroup 126
7.5. The realification of a semigroup 132
7.6. Examples and Applications 136
Chapter 8. Structure of Cu-semirings 139
8.1. Simple Cu-semirings 139
V
Vi
CONTENTS
8.2. Algebraic Cu-semirings 146
8.3. Classification of solid Cu-semirings 149
Chapter 9. Concluding remarks and open problems 159
Appendix A. Monoidal and enriched categories 163
Appendix B. Partially ordered monoids, groups and rings 167
B.l. The category Mon of monoids 167
B.2. The categories PrePOM and POM 172
B.3. The category POGp of partially ordered groups 176
B.4. The category PORg of partially ordered rings 178
Bibliography 181
Index of Terms 187
Index of Symbols 191
|
| any_adam_object | 1 |
| author | Antoine, Ramon 1973- Perera, Francesc Thiel, Hannes |
| author_GND | (DE-588)1131742133 (DE-588)1131742737 |
| author_facet | Antoine, Ramon 1973- Perera, Francesc Thiel, Hannes |
| author_role | aut aut aut |
| author_sort | Antoine, Ramon 1973- |
| author_variant | r a ra f p fp h t ht |
| building | Verbundindex |
| bvnumber | BV044868790 |
| ctrlnum | (OCoLC)1028921257 (DE-599)BVBBV044868790 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01585nam a2200361 cb4500</leader><controlfield tag="001">BV044868790</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210922 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">180315s2018 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470427979</subfield><subfield code="c">pbk.</subfield><subfield code="9">978-1-4704-2797-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1028921257</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044868790</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">06B35</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">15A69</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">06F05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46L05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Antoine, Ramon</subfield><subfield code="d">1973-</subfield><subfield code="0">(DE-588)1131742133</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Tensor products and regularity properties of Cuntz semigroups</subfield><subfield code="c">Ramon Antoine ; Francesc Perera ; Hannes Thiel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">January 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">viii, 191, 4 ungezählte Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">volume 251, number 1199 (sixth of 6 numbers)</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Perera, Francesc</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Thiel, Hannes</subfield><subfield code="0">(DE-588)1131742737</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">volume 251, number 1199 (sixth of 6 numbers)</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">1199</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030263276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030263276</subfield></datafield></record></collection> |
| id | DE-604.BV044868790 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:12:48Z |
| institution | BVB |
| isbn | 9781470427979 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030263276 |
| oclc_num | 1028921257 |
| open_access_boolean | |
| owner | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| physical | viii, 191, 4 ungezählte Seiten |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Antoine, Ramon 1973- Perera, Francesc Thiel, Hannes Tensor products and regularity properties of Cuntz semigroups Memoirs of the American Mathematical Society |
| title | Tensor products and regularity properties of Cuntz semigroups |
| title_auth | Tensor products and regularity properties of Cuntz semigroups |
| title_exact_search | Tensor products and regularity properties of Cuntz semigroups |
| title_full | Tensor products and regularity properties of Cuntz semigroups Ramon Antoine ; Francesc Perera ; Hannes Thiel |
| title_fullStr | Tensor products and regularity properties of Cuntz semigroups Ramon Antoine ; Francesc Perera ; Hannes Thiel |
| title_full_unstemmed | Tensor products and regularity properties of Cuntz semigroups Ramon Antoine ; Francesc Perera ; Hannes Thiel |
| title_short | Tensor products and regularity properties of Cuntz semigroups |
| title_sort | tensor products and regularity properties of cuntz semigroups |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030263276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT antoineramon tensorproductsandregularitypropertiesofcuntzsemigroups AT pererafrancesc tensorproductsandregularitypropertiesofcuntzsemigroups AT thielhannes tensorproductsandregularitypropertiesofcuntzsemigroups |