The text, based on press releases, notes that the arena is pursuing LEED Silver certification and is the "arena with the best connection to public transit."
Maybe that's compared to the "latest" buildings, but I don't think the Barclays Center tops Madison Square Garden.
Note that while the Brooklyn arena offers a convoluted direct connection to the Long Island Railroad, those without unlimited ride MetroCards would have to pay a fare to enter the subway system, go downstairs, and then go upstairs to the LIRR.
From the report:
The new home of the Brooklyn Nets, the Barclays Center, is pursuing LEED Silver Certification for New Construction. Set to open in September 2012, the stadium has undertaken a variety of construction initiatives to build a more sustainable facility in the heart of Brooklyn. For example, the Barclays Center will have the most extensive public transportation options of any sports venue in the country. An existing subway station, one of the most well-connected in all of New York City, is being expanded directly beneath the Barclays Center so that fans won’t even have to cross the street to enter the arena from the subway. The station services nine New York City subway lines as well as the Long Island Rail Road. The Barclays Center is an 18,200-seat arena that will host over 220 events annually. “When Barclays Center opens its doors, it will be one of the most extraordinary venues for architecture, technology, customer service, and programming,” says Brett Yormark, Barclays Center and Brooklyn Nets chief executive officer. “The reception we’ve received from Brooklyn has exceeded my expectations. I couldn’t be happier for the borough.”Yormark's comments
As an AEG-run facility, the Barclays Center will also be part of AEG’s 1EARTH commitment to environmental stewardship. In 2009, AEG, the largest owner of sports teams and events in the world, committed to measuring the environmental performance of all of its owned and managed venues (totaling more than 100 worldwide). AEG’s Ecometrics tracking system collects resource use and waste generation data from all AEG-owned facilities, including measurements for electricity, water, natural gas, carbon, sustainable paper products, green cleaning and other environmental products.
I'm not sure Yormark is the most credible commenter on behalf of the borough of Brooklyn. His quote comes from this press release, no longer on the web (but cached):