Skip to main content
MathOverflow

Return to Answer

replaced http://mathoverflow.net/ with https://mathoverflow.net/
Source Link
Community Bot
Community Bot
  • 1
  • 2
  • 3

The notion of noncommutative set is used for the intuition as the noncommutative analog of a set, as the von Neumann algebras or the ${\rm C}^*$-algebras are for the measurable or topological spaces. But unlike these notions of noncommutative topological or measurable space which are well-defined in the operator algebras framework, the notion of noncommutative set is not (yet) (well-)defined. See the post: What's a noncommutative set?What's a noncommutative set?

The notion of noncommutative set is used for the intuition as the noncommutative analog of a set, as the von Neumann algebras or the ${\rm C}^*$-algebras are for the measurable or topological spaces. But unlike these notions of noncommutative topological or measurable space which are well-defined in the operator algebras framework, the notion of noncommutative set is not (yet) (well-)defined. See the post: What's a noncommutative set?

The notion of noncommutative set is used for the intuition as the noncommutative analog of a set, as the von Neumann algebras or the ${\rm C}^*$-algebras are for the measurable or topological spaces. But unlike these notions of noncommutative topological or measurable space which are well-defined in the operator algebras framework, the notion of noncommutative set is not (yet) (well-)defined. See the post: What's a noncommutative set?

Source Link
Sebastien Palcoux
Sebastien Palcoux
  • 27k
  • 5
  • 74
  • 186

The notion of noncommutative set is used for the intuition as the noncommutative analog of a set, as the von Neumann algebras or the ${\rm C}^*$-algebras are for the measurable or topological spaces. But unlike these notions of noncommutative topological or measurable space which are well-defined in the operator algebras framework, the notion of noncommutative set is not (yet) (well-)defined. See the post: What's a noncommutative set?

Post Made Community Wiki by Sebastien Palcoux