In ذَلِكَ الْبَيْتُ, kāf is a particle of address with no syntactic case.
In كِتَابُكَ جَدِيدٌ, kāf is an attached pronoun in the genitive position as muḍāf ilayh.
Their surface shapes look similar; their grammatical functions are different.
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Address kāf vs attached pronoun
Demonstratives — forms, syntax and usage
In ذَلِكَ الْبَيْتُ, kāf is a particle of address with no syntactic case.
In كِتَابُكَ جَدِيدٌ, kāf is an attached pronoun in the genitive position as muḍāf ilayh.
Their surface shapes look similar; their grammatical functions are different.