Unity Audio was the name of a speaker manufacturer in Lansing, MI, USA in the '90s. They've been closed for 7 years or so, but were well reviewed in the mainstream press, receiving a Class A rating for their Signature Pyramid speaker from Stereophile. The company was run by Robert Grost. They made some interesting speakers. I owned 7 pairs at one time or another, and several are still in the family. They were known for nice cabinets and minimalist crossovers. My Sig Pyramids were made of grey 'granite' corian and weighed a ton.
The name might be available, but it probably would cause confusion for consumers who remember the old Unity Audio.