Published November 14, 2023 | Version v1
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ON IRREDUCIBLE HYPERFINITE REAL SUBFACTORS

Authors/Creators

  • 1. Department of General Mathematics, Tashkent state pedagogical University named after Nizami, Tashkent, Uzbekistan.

Description

It is shown any hyperfinite factor has an involutive *-antiautomorphism. It is proved that a real subfactor is irreducible if and only if its enveloping factor is irreducible. Using constructed examples in the complex case, as well as using an involutive *-antiautomorphism of a W*-algebra, examples of irreducible hyperfinite real subfactors with index larger than 4 are constructed.

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References

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