Abstract. In a recent paper we showed that certain algebras, with identity, can be represented as algebras of continuous functions on a Boolean space (a totally disconnected compact space). Now we shall show that the same is essentially true even if we do not assume existence of an identity.
1991 Mathematics Subject Classification. 46J10, 06E15, 46J25, 46J40.
Key words and phrases. Banach algebra, commutative Banach algebra, Boolean space, totally disconnected space, idempotent.