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

Yoshimichi Ueda; Yasuo Watatani

doi:10.1090/s0002-9939-99-05470-2

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

Yoshimichi Ueda, Yasuo Watatani

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Abstract

We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras _β on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(F_r). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.

Original language	English
Pages (from-to)	1397-1404
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9939-99-05470-2
Publication status	Published - 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/s0002-9939-99-05470-2

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abstract = "We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras β on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(Fr). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.",

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AB - We investigate von Neumann algebras generated by the real parts of generators of Toeplitz extensions of interpolated Cuntz algebras β on sub-Fock spaces. We show that some of them are isomorphic to interpolated free group factors L(Fr). For example, in case of the golden number β= 1+√5/2 the corresponding number r is 3/2.

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

Abstract

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