Singer Katy Perry and beau Russell Brand just purchased a penthouse in TriBeCa listed for $2,900,000, paying about $2,700,000 or just about $200,000 under asking. The apartment is about 1,500 square feet with 2 beds and 2 baths. In non-rockstar fashion the building has no doorman. The Post is alleging that the happy young couple apparently wants a nice little place in the city for tax purposes. The condo looks like it's renovated nicely and even has some outdoor space for when the couple wants a breath of fresh downtown air. We wish them well in their new home!