Let A be a simple unital AT algebra of real rank zero. It is shown below that the range of the natural map from the approximately inner automorphism group to KK(A,A ...

Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...

Let M be a von Neumann algebra of operators on a separable Hilbert space H, and G a compact, strong-operator continuous group of *-automorphisms of M. The action of G on M gives rise to a faithful, ...

Algebraic varieties and their automorphism groups lie at the heart of modern algebraic geometry, intertwining deep theoretical concepts with practical applications. Algebraic varieties, defined as the ...