New York state reported Friday that just over 21,000 people had tested positive for COVID-19 the previous day, the highest single-day total for new cases since testing became widely available. Just under half of the positive results were in the city, where lines were growing at testing stations, the Rockettes Christmas show was canceled for the season and some Broadway shows nixed performances because of outbreaks among cast members. One-day snapshots of virus statistics can be an unreliable way to measure trends, but the new record punctuated a steady increase that started in the western part of the state in late October and has taken off in New York City in the past week as the omicron variant spreads. “This is changing so quickly. The numbers are going up exponentially by day,” Gov. Kathy Hochul said during a Friday appearance on CNN. The steep rise in infections should be of …