TAIL ALGEBRAS OF QUANTUM EXCHANGEABLE RANDOM VARIABLES Academic Article uri icon

abstract

  • 2014 American Mathematical Society. We show that any countably generated von Neumann algebra with specified normal faithful state can arise as the tail algebra of a quantum exchangeable sequence of noncommutative random variables. We also characterize the cases when the state corresponds to a limit of convex combinations of free product states.

published proceedings

  • PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Dykema, K. J., & Ostler, C. K.

citation count

  • 3

complete list of authors

  • Dykema, Kenneth J||Ostler, Claus K

publication date

  • June 2014