Let A be the W*-algebra, L1(E(0), µ), where E(0) is a fnite set and µ is a probability measure with full support. Let P:A->A be a completely positive unital map. In the present context, P is given by a stochastic matrix. We study the properties of P that are refected in the dilation theory developed by Muhly and Solel in Int. J. Math. 13, 2002. Let H be the Hilbert space L2(E(0), µ) and let pi : A -> B(H) the representation of A given by multi...
CHF 64.00
