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math.OA2004★ 6 cited
Noncommutative continuous Bernoulli shifts
Jürgen Hellmich, Claus Köstler, Burkhard Kümmerer
We introduce a non-commutative extension of Tsirelson-Vershik's noises, called (non-commutative) continuous Bernoulli shifts. These shifts encode stochastic independence in terms o…
math.OA2004
On the structure of non-commutative white noises
Claus Köstler, Roland Speicher
We consider the concepts of continuous Bernoulli systems and non-commutative white noises. We address the question of isomorphism of continuous Bernoulli systems and show that for…