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\*-algeb
Invariants of almost commuting unitaries
โ Scribed by Ruy Exel; Terry A Loring
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 473 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is shown that, for a class of unital C\*-algebras including purely infinite simple C\*-algebras, real rank zero simple AT algebras, and AF algebras, if u and v are almost commuting unitaries where u has trivial K 1 -class, v has full spectrum, and a certain K 0 -valued obstruction associated to t
If \(g_{i}\) is a central sequence of unitaries in a \(\mathrm{I}_{1}\) factor, we show that under certain circumstances \(\lim _{n \rightarrow x_{i}} \operatorname{Ad}\left(\prod_{i=1}^{n} g_{i}\right)\) is an automorphism. Examples come naturally from solutions of the Yang-Baxter equation with a s
Let H=L 2 ((0, ), dx), and K \* f (x)= f (\*x), for \*>0, f # H. An invariant operator on H is one commuting with all the K \* . A skew root is a self-adjoint, unitary operator on H satisfying T 2 =I, and TK \* =K \* \*T, for all \*>0. A generator g is an element of H such that the smallest, closed