PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
April 16, 2026Proceedings of the American Mathematical Society0 citations

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

View Full Paper
YWYarong WangYCYeong Chung

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

Abstract

Given a homomorphism from a group G G to another group, we show that two associated relative reduced group C ∗ C^* -algebras have the same K K -theory when both algebras are defined and G G has a trivial γ -element.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/69e07e3b2f7e8953b7cbf418https://doi.org/10.1090/proc/17600
Ask AI
Helpful
Bookmark
Share
View Full Paper