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math.OA2007
Jones index of a quantum dynamical semigroup
Anilesh Mohari
In this paper we consider a semigroup of completely positive maps with a faithful normal invariant state on a type- factor $\cla_0$ and propose an index…
math.OA2007
Pure inductive limit state and Kolmogorov's property
Anilesh Mohari
Let $(\clb,λ_t,ψ)$ be a -dynamical system where $(λ_t: t \in \IT_+)$ be a semigroup of injective endomorphism and be an invariant state on the subalgebra $\c…
math.OA2007
Translation invariant state and its mean entropy-II
Anilesh Mohari
Let $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ be the two sided infinite tensor product -algebra of dimensional matrices $\!M^{(n)}(\IC)=\!M_d(\IC)$ over the field of comple…