NEW YORK CITY — California-based The Walking Company, a national shoe retailer, has leased 3,135 square feet of retail space at 551 Madison Ave. in New York for its Manhattan flagship store. The company signed a 15-year lease for the ground level of the building, which is located between 55th and 56th streets in Manhattan’s Plaza District. The space, which was previously occupied by Allen-Edmonds, offers 30 feet of frontage on Madison Avenue. Retail neighbors include Robert Marc, Geox, Lacoste, Links of London and Thomas Pink. Kenneth Hochhauser of Newmark Knight Frank represented The Walking Company; Steven Soutendijk and Nick Madden of Cushman & Wakefield Retail Services represented the landlord, LaSalle Investment Management, in the lease negotiations.