𝐾-theory isomorphism for relative reduced group 𝐶*-algebras via trivial 𝛾-elements

Key Points

• The aim is to show that two relative reduced group C*-algebras share the same K-theory under specific conditions.
• Investigated homomorphisms from a group G to another group
• Analyzed the K-theory of associated relative reduced group C*-algebras
• Established conditions for K-theory isomorphism involving trivial gamma-elements
• Confirmed that the K-theory of the two algebras is identical when G has a trivial gamma-element
• Provided theoretical framework for understanding isomorphisms in this context