Proceedings of the American Mathematical Society

A relation between certain interpolated Cuntz algebras and interpolated free group factors

Author(s): Yoshimichi Ueda; Yasuo Watatani
Journal: Proc. Amer. Math. Soc. 128 (2000), 1397-1404.
MSC (2000): Primary 46L09, 46L35, 46L54
Posted: September 27, 1999
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Abstract: We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras $\mathcal O_{\beta}$ on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors

. For example, in case of the golden number $\beta = \frac{1+\sqrt{5}}{2}$ the corresponding number

is $\frac{3}{2}$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46L09, 46L35, 46L54

Yoshimichi Ueda
Affiliation: Graduate School of Mathematics, Kyushu University, Fukuoka, Ropponmatsu, 810-8560, Japan
Address at time of publication: Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
Email: ueda@math.sci.hiroshima-u.ac.jp

Yasuo Watatani
Affiliation: Graduate School of Mathematics, Kyushu University, Fukuoka, Ropponmatsu, 810-8560, Japan
Email: watatani@math.kyushu-u.ac.jp

DOI: 10.1090/S0002-9939-99-05470-2
PII: S 0002-9939(99)05470-2
Keywords: Cuntz algebra, free group factor, $\beta$-shift
Received by editor(s): June 29, 1998
Posted: September 27, 1999
Communicated by: David R. Larson
Copyright of article: Copyright 2000, American Mathematical Society

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