不用楼上那么复杂。

<ul>
    <li ng-class="{red : color.active}" ng-click="color.active = !color.active" ng-repeat="color in Texture">{{color.value}}</li>
</ul>

题主应该使用angular的directive来实现这个需求.
结果: http://output.jsbin.com/rolobakaya

javascriptm1.directive('toggleClass', function(){
    return {
        restrict: 'A',
        scope: {
            toggleClass: '@'
        },
        link: function($scope, $element){
            $element.on('click', function(){
                $element.toggleClass($scope.toggleClass);
            });
        }
    };
});

html<li toggle-class="classname"></li>

我的思路是：

<li ng-class="{active: currentId == color.id}" ng-repeat="color in colors">{{color.name}}</li>

然后定义一个ng-click并在里面修改$scope.currentId