✦ LIBER ✦

On a Family of Almost Commuting Endomorphisms

✍ Scribed by V.F.R. Jones

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 242 KB
Volume: 122
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1062

No coin nor oath required. For personal study only.

✦ Synopsis

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 spectral parameter, and the study of endomorphisms of the Cuntz algebra. 1994 Academic Press, Inc.

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