Alladi Ramakrishnan Hall

Stopped CCR-flows and Isometric Cocycles

K. B. Sinha

JNCASR, Bangaluru

The CCR-flows give the simplest examples of a semigroup of
endo-morphisms of the *-algebra of the set of all linear bounded operators
in the Fock space over $L^2(R_+)$ , which enjoys the continouous
tensor-product decomposition property and thus produces an example of the
so-called product systems .Using a stop-time in Fock space , we construct
a
large class of new CCR-flows ,each carrying its product systems .