  In the present paper we investigate Banach--Kantorovich algebras over
faithful solid subalgebras of algebras measurable functions. We prove that any
Banach--Kantorovich algebra over faithful solid subalgebras of algebra
measurable functions represented as a measurable bundle of Banach algebras with
vector-valued lifting. We apply such representation to the spectrum of elements
Banach--Kantorovich algebras.
