Adapted endomorphisms which generalize Bogoljubov transformations

Rolf Gohm

Adapted endomorphisms which generalize Bogoljubov transformations

Rolf Gohm^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We discuss a class of endomorphisms of the hyperfinite II₁-factor which are adapted in a certain way to a tower ℂ1 ⊂ ℂ^p ⊂ M_p ⊂ M_p⊗C^p ⊂ ... so that for p = 2 we get Bogoljubov transformations of a Clifford algebra. Results are given about surjectivity, innerness, Jones index and the shift property.

Original language	English
Pages (from-to)	19-37
Number of pages	19
Journal	Journal of Operator Theory
Volume	45
Issue number	1
Publication status	Published - 2001

Keywords

Adapted
Bogoljubov transformation
Endomorphism
Inner
Jones tower
Shift

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AB - We discuss a class of endomorphisms of the hyperfinite II1-factor which are adapted in a certain way to a tower ℂ1 ⊂ ℂp ⊂ Mp ⊂ Mp⊗Cp ⊂ ... so that for p = 2 we get Bogoljubov transformations of a Clifford algebra. Results are given about surjectivity, innerness, Jones index and the shift property.

KW - Adapted

KW - Bogoljubov transformation

KW - Endomorphism

KW - Inner

KW - Jones tower

KW - Shift

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Adapted endomorphisms which generalize Bogoljubov transformations

Abstract

Keywords

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