Need to grant select permission on View but not in table which is in a different database
I will give a full demo how you can achieve this.
Create 2 database

USE [MASTER];
GO
CREATE DATABASE [TestA]
GO
CREATE DATABASE [TestB]
GO


Create a login and user in both database.

USE [master];
GO
CREATE LOGIN TestUser WITH PASSWORD = 'Password', CHECK_POLICY = OFF;
GO


Create user in both database using the login above.

USE TestA
GO
CREATE USER TestUser FROM LOGIN TestUser;
GO
USE TestB
GO
CREATE USER TestUser FROM LOGIN TestUser;
GO


Create table is TestA database.

CREATE TABLE TestA.dbo.t1(id INT);
GO


Create view in TestB database.

USE TestB; 
GO
CREATE VIEW dbo.ViewA
AS
  SELECT id FROM TestA.dbo.t1;
GO


Enabling Cross-database Ownership Chaining

ALTER DATABASE testA SET DB_CHAINING ON;  
ALTER DATABASE testB SET DB_CHAINING ON;  


Grant permission to read from the view.

USE [TestB]
GO
GRANT SELECT ON [dbo].[ViewA] TO [TestUser];
GO


Login with TestUser into SSMS and run this:

USE [TestB]
GO
SELECT * FROM [dbo].[ViewA]
USE [TestA]
GO
SELECT * FROM [dbo].[t1]
GO


You should see all the rows from testA.dbo.ViewA table via the view but get following error message for the select on table t1.


  Msg 229, Level 14, State 5, Line 6 The SELECT permission was denied on
  the object 't1', database 'TestA', schema 'dbo'.