๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Invariants of almost commuting unitaries

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


Almost Commuting Unitaries and Classific
โœ Huaxin Lin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

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

Homotopy of a Pair of Approximately Comm
โœ Ola Bratteli; George A Elliott; David E Evans; Akitaka Kishimoto ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 603 KB

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

On a Family of Almost Commuting Endomorp
โœ V.F.R. Jones ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

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

A Class of Invariant Unitary Operators
โœ Luis Bรกez-Duarte ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

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