为实体框架多对多关系构建表达式树?

我正在为以下结构编写代码:
3张桌子

表“Book”、“BookAuthor”和“Author”。

现在,我想构建一个ExpressionTree以获得以下Linq结果:

_ent.Book.Where(c => c.BookAuthor.Any(cd => cd.Author.AuthorName == "test"));

我的问题是最后一个表达式 cd.Author.AuthorName (或类似)。

我的当前代码:

private MethodCallExpression BuiltMethodCall(IQueryable _query, string CustTypeID, Type _ParentObjType,
Type _ChildObjType, string strChildObj, string strChildCol)
    {

        //This function will build a dynamic linq expression tree representing the ling calls of:
        //Book.Where(c => c.BookAuthor.Any(cd => cd.Author = custTypeID))

        ConstantExpression value = Expression.Constant(CustTypeID);

        //Build the outer part of the Where clause
        ParameterExpression parameterOuter = Expression.Parameter(_ParentObjType, "c");
        MemberExpression propertyOuter = Expression.Property(parameterOuter, strChildObj);

        //Build the comparison inside of the Any clause
        ParameterExpression parameterInner = Expression.Parameter(_ChildObjType, "cd");
        MemberExpression propertyInner = Expression.Property(parameterInner, strChildCol);

        BinaryExpression comparison = Expression.Equal(propertyInner, value);
        LambdaExpression lambdaInner = Expression.Lambda(comparison, parameterInner);

        //Create Generic Any Method
        Func<MethodInfo, bool> methodLambda = m => m.Name == "Any" && m.GetParameters().Length == 2;
        MethodInfo method = typeof(Enumerable).GetMethods().Where(methodLambda).Single()
            .MakeGenericMethod(_ChildObjType);

        //Create the Any Expression Tree and convert it to a Lambda
        MethodCallExpression callAny = Expression.Call(method, propertyOuter, lambdaInner);
        LambdaExpression lambdaAny = Expression.Lambda(callAny, parameterOuter);

        //Build the final Where Call
        MethodCallExpression whereCall = Expression.Call(typeof(Queryable), "Where",
            new Type[] { _query.ElementType }, new Expression[]
            {
                    _query.Expression,
                    Expression.Quote(lambdaAny)
            });

        return whereCall;
    }