Derivations with values into ideals of a semifinite von Neumann algebra

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Copyright: Huang, Jinghao
Abstract
One of the classic problems in operator algebra theory is the question whether every derivation from an algebra N into an N-bimodule J is automatically inner. In the present thesis, we study derivations with values into ideals of a semifinite von Neumann algebra M. Precisely, we characterize the symmetric ideals J of M such that every derivation from an arbitrary C*-subalgebra (resp. von Neumann subalgebra) of M into J is automatically inner.
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Author(s)
Huang, Jinghao
Supervisor(s)
Sukochev, Fedor
Dmitriy, Zanin
Galina, Levitina
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Publication Year
2019
Resource Type
Thesis
Degree Type
PhD Doctorate
UNSW Faculty
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