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

Yoshimichi Ueda, Yasuo Watatani

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)1397-1404
Number of pages8
JournalProceedings of the American Mathematical Society
Volume128
Issue number5
Publication statusPublished - Dec 1 2000

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Cuntz Algebra
Free Group
Algebra
Fock Space
Otto Toeplitz
Von Neumann Algebra
Isomorphic
Generator

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

A relation between certain interpolated cuntz algebras and interpolated free group factors. / Ueda, Yoshimichi; Watatani, Yasuo.

In: Proceedings of the American Mathematical Society, Vol. 128, No. 5, 01.12.2000, p. 1397-1404.

Research output: Contribution to journalArticle

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