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Decompositions of Beurling type for E₀-semigroups

100%

Gohm R.

Banach Center Publications

2006

tom 73

nr 1

167-176

We define tensor product decompositions of E₀-semigroups with a structure analogous to a classical theorem of Beurling. Such decompositions can be characterized by adaptedness and exactness of unitary cocycles. For CCR-flows we show that such cocycles are convergent.

Noncommutative independence in the infinite braid and symmetric group

63%

Gohm R., Köstler C.

Banach Center Publications

2011

tom 96

nr 1

193-206

This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows us to derive factorization properties from symmetries. We explain some of the main ideas of this approach and work out a constructive procedure to use in applications. Finally we illustrate the method by applying it to the theory of group characters.

Ograniczanie wyników

2 Banach Center Publications

2 Gohm R.

1 Köstler C.

1 2011

1 2006

Wyniki wyszukiwania

Decompositions of Beurling type for E₀-semigroups

Noncommutative independence in the infinite braid and symmetric group