Measurement of ratios of branching fractions and CP-violating asymmetries of B(+/-) -> D*K(+/-) decays

We report a study of B-+/- -> D*K-+/- decays with D* decaying to D pi(0) or D gamma, using 383 x 10(6) B (B) over bar pairs collected at the Y(4S) resonance with the BABAR detector at the SLAC PEP-II B Factory. The D meson decays under study include a non-CP mode (K-+/- pi(-/+)), CP-even modes ((KK -/+)-K-+/-, pi(+/-)pi(-/+)), and CP-odd modes (K-s(0)pi(0), K-s(0)phi, K-s(0)omega).We measure ratios (R*(CP +/-)) of branching fractions of decays to CP eigenmode states and to flavor-specific states as well as CP asymmetries (A*(CP +/-)) These measurements are sensitive to the unitarity triangle angle gamma. We obtain A*(CP+) = -0.11 +/- 0.09 +/- 0.01, R*(CP) = 1.31 +/- 0.13 +/- 0.04, and A*(CP-) = 0.06 +/- 0.10 +/- 0.02, R-CP-(*) = 1.10 +/- 0.12 +/- 0.04, where the first error is statistical and the second error is systematic. Translating our results into an alternative parametrization, widely used for related measurements, we obtain x(+)* = 0. 11 +/- 0.06 +/- 0.02 and x(-)* = 0.00 +/- 0.06 +/- 0.02. No significant CP-violating charge asymmetry is found in either the flavor-specific mode D -> K-+/- pi(-/+) or in B-+/- -> D*pi(+/-) decays.