Three partial orders arising from multiplication alteration by two-cocycles

Dave Riffelmacher
1976 Bulletin of the American Mathematical Society  
DEFINITION 2.3. C, D fc-algebras. C Hochschild dominates D if there is a C-two-cocycle o with Z> = C° as /:-algebras and ( ) a is dense. C is a Hochschild atom if ( ) a is dense for all C-two-cocycles a. PROPOSITION 2.4. Hochschild dominance is a partial order.
doi:10.1090/s0002-9904-1976-14051-7 fatcat:v44re73ap5cvvouibizzac565u