On the Construction of Families of type П₁ Subfactors Each Containing a Middle Subfactors

Bahman Mashood^1, and Mahmood Khoshkam¹

¹Former lecturer at university of Saskatchewan, San Francisco/California

Cite this paper:
Bahman Mashood and Mahmood Khoshkam. On the Construction of Families of type П₁ Subfactors Each Containing a Middle Subfactors. American Journal of Mathematical Analysis. 2015; 3(2):44-46. doi: 10.12691/ajma-3-2-4

Abstract

In this article we are going to construct a family of type П₁ subfactors each containing a middle subfactor. As a result of the above construction we show that the set of the indices of hyperfinite irreducible subfactors contains the interval [37.0037,∞).

Keywords:
subfactors von Neumann algebras Jones Index lattice relative commutants

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