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A relation between certain interpolated Cuntz algebras and interpolated free group factors |
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| Authors: | Yoshimichi Ueda Yasuo Watatani |
| Affiliation: | Graduate School of Mathematics, Kyushu University, Fukuoka, Ropponmatsu, 810-8560, Japan ; Graduate School of Mathematics, Kyushu University, Fukuoka, Ropponmatsu, 810-8560, Japan |
| Abstract: | We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras  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  the corresponding number  is  . |
| Keywords: | Cuntz algebra free group factor $beta$-shift |
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