We describe a Markov dilation for any weak* continuous semigroup \((T_t)_t \geqslant 0\) of selfadjoint unital completely positive Fourier multipliers acting on the group von Neumann algebra \(\mathrm {VN}(G)\) locally compact G.

The arrangement of fine hairs on the longitudinal and transverse flagella of Woloszynskia vticra is illustrated and discussed. Dilations of the nuclear envelope and endoplasmic reticulum in W. micra, similar in appearance and location to those containing flagellar hairs in other algal and fungal zoids, are found to contain bundles of fibrils. These fibrils are approximately the same width and l...

Given a row contraction of operators on Hilbert space and a family of projections on the space which stabilize the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries which satisfy natural relations. For a fixed row contraction the set of all dilations forms a partially ordered set with a largest and smallest element. A key technical device in ...