Estoy usando ASP.NET Core 1.0.1. Tengo lo siguiente

Una biblioteca de clases que usa"Microsoft.AspNetCore.Mvc": "1.0.1" Para desarrollar mis controladores:

using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using Microsoft.AspNetCore.Mvc;

namespace CoreAPIsLibrary.Controllers
{

    [Route("api/[controller]")]
    public class ValuesContoller : Controller
    { 
        public string Get()
        {
            return "value";
        }

        // GET api/values/5
        [HttpGet("{id}")]
        public string Get(int id)
        {
            return "value";
        }

        // POST api/values
        [HttpPost]
        public void Post([FromBody]string value)
        {
        }

        // PUT api/values/5
        [HttpPut("{id}")]
        public void Put(int id, [FromBody]string value)
        {
        }
    }
}

Este es el proyecto de mi clase libray.json:

{
  "version": "1.0.0-*",

  "dependencies": {
    "Microsoft.AspNetCore.Mvc": "1.0.1",
    "NETStandard.Library": "1.6.0"
  },

  "frameworks": {
    "netstandard1.6": {
      "imports": "dnxcore50"
    }
  }
}

Asp.net core application (Web API Template) que alojará mis controladores y hará referencia a esa biblioteca de clases. Sin embargo, nunca llega al punto de interrupción en el controlador. Aquí está mi clase de inicio en la aplicación web:

  using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using Microsoft.AspNetCore.Builder;
using Microsoft.AspNetCore.Hosting;
using Microsoft.Extensions.Configuration;
using Microsoft.Extensions.DependencyInjection;
using Microsoft.Extensions.Logging;
using System.Reflection;
using CoreAPIsLibrary.Controllers;

namespace APIsHost
{
    public class Startup
    {
        public Startup(IHostingEnvironment env)
        {
            var builder = new ConfigurationBuilder()
                .SetBasePath(env.ContentRootPath)
                .AddJsonFile("appsettings.json", optional: true, reloadOnChange: true)
                .AddJsonFile($"appsettings.{env.EnvironmentName}.json", optional: true)
                .AddEnvironmentVariables();
            Configuration = builder.Build();
        }

        public IConfigurationRoot Configuration { get; }

        // This method gets called by the runtime. Use this method to add services to the container.
        public void ConfigureServices(IServiceCollection services)
        {
            services.AddMvc()
              .AddApplicationPart(typeof(ValuesContoller).GetTypeInfo().Assembly).AddControllersAsServices();
        }

        // This method gets called by the runtime. Use this method to configure the HTTP request pipeline.
        public void Configure(IApplicationBuilder app, IHostingEnvironment env, ILoggerFactory loggerFactory)
        {
            loggerFactory.AddConsole(Configuration.GetSection("Logging"));
            loggerFactory.AddDebug();

            app.UseMvc(routes =>
            {
                routes.MapRoute("default", "{controller}/{action}/{id}");
            });
            //app.UseMvc();
        }
    }
}

También verifiqué si se inyectó el controlador:

Entonces, ¿qué falta?