A reduction method for noncommutative L_p-spaces and applications

@inproceedings{Haagerup2008ARM,
  title={A reduction method for noncommutative L_p-spaces and applications},
  author={Uffe Haagerup and Marius Junge and Quanhua Xu},
  year={2008}
}
  • Uffe Haagerup, Marius Junge, Quanhua Xu
  • Published 2008
  • Mathematics
  • We consider the reduction of problems on general noncommutative L p -spaces to the corresponding ones on those associated with finite von Neumann algebras. The main tool is an unpublished result of the first-named author which approximates any noncommutative L p -space by tracial ones. We show that under some natural conditions a map between two von Neumann algebras extends to their crossed products by a locally compact abelian group or to their noncommutative L p -spaces. We present… CONTINUE READING

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