✦ LIBER ✦
Almost Commuting Unitaries and Classification of Purely Infinite SimpleC*-Algebras
✍ Scribed by Huaxin Lin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 282 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
We show that, for any irrational rotational algebra A % , A % O 2 $O 2 . This is proved by combining recently established results for C*-algebras of real rank zero with the following result:
For any =>0, there is $>0, such that for any pair of unitaries u, v in any purely infinite simple C*-algebra A with K 1 (A)=0 satisfies &uv&vu&<$ and }(u, v)=0.
There is a pair of commuting unitaries U, V # A with finite spectrum such that &u&U&<= and &v&V&<=.
More general results concerning almost commuting unitaries are also obtained.