P.I. degree of tensor products of PI-algebras
β Scribed by Tatiana Gateva
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 427 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given two lmc C\*-algebras E, F denote by v, x the projective resp. injective tensorial lmc C\*-topology on E 6 F [lo]. Then, E 5 x 5 v 5 a, where E, a the projective resp. biprojective tensorial topology on E 8 F. If now, F is commutative and A ( F ) denotes the GEL'FAND space of F, one obtains und
Combining a construction of Dadarlat of a unital, simple, non-exact C\*-algebra C of real rank zero and stable rank one, which is shape equivalent to a UHFalgebra, with results of Kirchberg and a result obtained by Dadarlat and the firstnamed author, we show that B(H) C contains an ideal that is not