在使用ActivityViewModel和AdapterItemViewModel进行连接时，需要通过数据绑定或事件触发的方式来实现数据传递和更新。

以下是一个使用DataBinding库的示例代码，演示了如何在ActivityViewModel和AdapterItemViewModel之间建立连接：

1. 创建ActivityViewModel类：

class ActivityViewModel : ViewModel() {
    private val _items = MutableLiveData>()
    val items: LiveData> get() = _items

    fun loadData() {
        // 模拟加载数据
        val itemList = listOf(
            AdapterItemViewModel("Item 1"),
            AdapterItemViewModel("Item 2"),
            AdapterItemViewModel("Item 3")
        )
        _items.value = itemList
    }
}

2. 创建AdapterItemViewModel类：

class AdapterItemViewModel(val name: String) {
    // 可以添加其他需要的属性和方法
}

3. 在Activity中使用DataBinding绑定ActivityViewModel和RecyclerView的Adapter：

activity_main.xml：

MainActivity.kt：

class MainActivity : AppCompatActivity() {
    private lateinit var binding: ActivityMainBinding
    private val viewModel: ActivityViewModel by viewModels()

    override fun onCreate(savedInstanceState: Bundle?) {
        super.onCreate(savedInstanceState)
        binding = DataBindingUtil.setContentView(this, R.layout.activity_main)
        binding.lifecycleOwner = this
        binding.viewModel = viewModel

        val adapter = Adapter()
        binding.recyclerView.adapter = adapter

        viewModel.items.observe(this) { items ->
            adapter.submitList(items)
        }
    }
}

4. 创建RecyclerView的Adapter类：

class Adapter : ListAdapter(DiffCallback()) {

    override fun onCreateViewHolder(parent: ViewGroup, viewType: Int): ViewHolder {
        val inflater = LayoutInflater.from(parent.context)
        val binding = ItemBinding.inflate(inflater, parent, false)
        return ViewHolder(binding)
    }

    override fun onBindViewHolder(holder: ViewHolder, position: Int) {
        val item = getItem(position)
        holder.bind(item)
    }

    class ViewHolder(private val binding: ItemBinding) : RecyclerView.ViewHolder(binding.root) {
        fun bind(item: AdapterItemViewModel) {
            binding.item = item
            binding.executePendingBindings()
        }
    }

    class DiffCallback : DiffUtil.ItemCallback() {
        override fun areItemsTheSame(oldItem: AdapterItemViewModel, newItem: AdapterItemViewModel): Boolean {
            return oldItem.name == newItem.name
        }

        override fun areContentsTheSame(oldItem: AdapterItemViewModel, newItem: AdapterItemViewModel): Boolean {
            return oldItem == newItem
        }
    }
}

item.xml：

通过上述代码，ActivityViewModel和AdapterItemViewModel通过LiveData和DataBinding库进行了连接。当ActivityViewModel中的数据更新时，Adapter会自动更新RecyclerView中的列表项。