Certain K0-Monoid Properties Preserved by Tracial Approximation
We show that the following K0-monoid properties of C*-algebras in the class Ω are inherited by simple unital C*-algebras in the class TAΩ: (1) pseudocancellation property, (2) weakly divisible, (3) strongly separative, (4) separative, and (5) preminimal.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/503679 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568003009445888 |
|---|---|
| author | Qingzhai Fan |
| author_facet | Qingzhai Fan |
| author_sort | Qingzhai Fan |
| collection | DOAJ |
| description | We show that the following K0-monoid properties of C*-algebras in the class Ω are inherited by simple unital C*-algebras in the class TAΩ: (1) pseudocancellation property, (2) weakly divisible, (3) strongly separative, (4) separative, and (5) preminimal. |
| format | Article |
| id | doaj-art-6ae90b073de5425e82922fa617c5764b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6ae90b073de5425e82922fa617c5764b2025-02-03T00:59:59ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/503679503679Certain K0-Monoid Properties Preserved by Tracial ApproximationQingzhai Fan0Department of Mathematics, Shanghai Maritime University, 1550 Haigang Avenue New Harbor City, Shanghai 201306, ChinaWe show that the following K0-monoid properties of C*-algebras in the class Ω are inherited by simple unital C*-algebras in the class TAΩ: (1) pseudocancellation property, (2) weakly divisible, (3) strongly separative, (4) separative, and (5) preminimal.http://dx.doi.org/10.1155/2011/503679 |
| spellingShingle | Qingzhai Fan Certain K0-Monoid Properties Preserved by Tracial Approximation Abstract and Applied Analysis |
| title | Certain K0-Monoid Properties Preserved by Tracial Approximation |
| title_full | Certain K0-Monoid Properties Preserved by Tracial Approximation |
| title_fullStr | Certain K0-Monoid Properties Preserved by Tracial Approximation |
| title_full_unstemmed | Certain K0-Monoid Properties Preserved by Tracial Approximation |
| title_short | Certain K0-Monoid Properties Preserved by Tracial Approximation |
| title_sort | certain k0 monoid properties preserved by tracial approximation |
| url | http://dx.doi.org/10.1155/2011/503679 |
| work_keys_str_mv | AT qingzhaifan certaink0monoidpropertiespreservedbytracialapproximation |