How to call a MainActivity method from ViewHolder in RecyclerView.Adapter?

To keep your classes decoupled, I'd suggest defining an interface on your adapter, something like:

public interface OnBluetoothDeviceClickedListener {
    void onBluetoothDeviceClicked(String deviceAddress);
}

Then add a setter for this in your adapter:

private OnBluetoothDeviceClickedListener mBluetoothClickListener;

public void setOnBluetoothDeviceClickedListener(OnBluetoothDeviceClickedListener l) {
    mBluetoothClickListener = l;
}

Then internally, in your ViewHolder's onClick():

if (mBluetoothClickListener != null) {
    final String addresss = deviceAddress.getText().toString();
    mBluetoothClickListener.onBluetoothDeviceClicked(address);
}

Then just have your MainActivity pass in a listener to the Adapter:

mDeviceListAdapter.setOnBluetoothDeviceClickedListener(new OnBluetoothDeviceClickedListener() {
    @Override
    public void onBluetoothDeviceClicked(String deviceAddress) {
        confirmConnection(deviceAddress);
    }
});

This way you can reuse the adapter later without it being tied to that particular behavior.

In your adapter, create an interface that will provide a callback to the main activity

public interface MyCallback{
    void onItemClicked();
}

private MyCallback listener;

public setOnItemClickListener(MyCallback callback){
    listener = callback;
}

Have your main activity implement it.

public class MainActivity extends AppCompatActivity implements MyCallback

then implement the callback

@Override
public void onItemClick(){
    //do work
}

then just set the callback from the adapter

mDeviceListAdapter.setOnItemClickListener(this);

For those who are looking for invoking a callback from a static ViewHolder do the following. Let you have an adapter:

public class MyAdapter extends RecyclerView.Adapter<MyAdapter.ViewHolder> {
    private final int resource;
    private final List<Item> items;
    private final LayoutInflater inflater;
    ...
    private Callback callback;

    private static class ViewHolder extends RecyclerView.ViewHolder {
        ...
    }

    public interface Callback {
        void onImageClick(int position);
        void onRemoveItem(int position);
    }
}

Then you should add a setCallback method and call it from activity/fragment. Also you shouldn't make a callback static (it may lead to problems when you use the same adapter in many classes). You should create a field inside the ViewHolder. So:

    public MyAdapter(Context context, int resource, List<Item> items, Callback callback) {
        super();
        this.resource = resource;
        this.items = items;
        this.inflater = LayoutInflater.from(context);
        this.callback = callback;
    }

    @Override
    public void onBindViewHolder(RecyclerView.ViewHolder holder, int position) {
        final ViewHolder viewHolder = (ViewHolder) holder;
        final Item item = this.items.get(position);
        viewHolder.caption.setText(item.caption);
        viewHolder.callback = callback;
    }

    // A method to set a callback from activity/fragment.
    public void setCallback(Callback callback) {
        this.callback = callback;
    }

    public static class Item {
        public long id;
        public String number;
        public String caption;

        ...
    }

    private static class ViewHolder extends RecyclerView.ViewHolder {
        protected final TextView caption;
        // A reference to an adapter's callback.
        protected Callback callback;

        public ViewHolder(View view) {
            super(view);
            this.caption = (TextView) view.findViewById(R.id.caption);
        }

        private View.OnClickListener onClickListener = new View.OnClickListener() {
            @Override
            public void onClick(View v) {
                int id = v.getId();
                if (id == R.id.image) {
                    // Invoke the callback here.
                    if (callback != null) {
                        callback.onImageClick(getLayoutPosition());
                    }
                }
            }
        };
    }
}

After you have made the adapter you can invoke it so:

adapter = new MyAdapter(getActivity(), R.layout.item,
        new ArrayList<MyAdapter.Item>(), null);

adapterListener = new MyAdapter.Callback() {
    @Override
    public void onImageClick(int position) {
        // Some actions.
    }

    @Override
    public void onRemoveItem(int position) {
        // Some actions.
    }
};

adapter.setCallback(adapterListener);

You could pass the MainActivity as a constructor-parameter for the Adapter and store it in a field. Or you use a event-bus - there are multiple ways to do it - I would go for the field