the biggest difference between these 2 colour space is the 'richness' in colour. Adobe RGB has a wider colour space compared to sRGB in the colour gamut.
however, that only allows u to manipulate your images in aRGB compatible programs. even after all these years, no one has adopted this standard for printing. so no matter where & what u use to print your pics (inkjet printers or photo labs), they still use sRGB.
if u work in aRGB & convert the images to sRGB at the final stage before printing, the images look a little better. i have tried that & realised its not worth the trouble. defeat my purpose of getting the Oly E1 (not to touch the computer as far as i can for image manipulation). your purpose, style & standard may vary.
(ps. note that if u insist on printing aRGB with a sRGB printer, the colours will look dull)
edited: also all printers & photo labs available today can only print 8bits per colour. if u work in 16 bits mode, u still need to convert to 8 bits for final output.