  We introduce equivariant factorization homology, extending the axiomatic
framework of Ayala-Francis to encompass multiplicative invariants of manifolds
equipped with finite group actions. Examples of such equivariant factorization
homology theories include Bredon equivariant homology and (twisted versions of)
Hochschild homology. Our main result is that equivariant factorization homology
satisfies an equivariant version of tensor excision, and is uniquely
characterised by this property. We also discuss applications to representation
theory, such as constructions of categorical braid group actions.
