3 papers
math.OA2008
Quantum Statistical Mechanics of -lattices and noncommutative geometry
Vahid Shirbisheh
After recalling some basic notions of quantum statistical mechanics, we explain the Bost-Connes system that relates the structure of the maximal abelian extension of t…
math.NT2008
A relative version of Kummer theory
Vahid Shirbisheh
Let be a cyclic Galois extension of degree with Galois group . It is shown that the Galois module structure of both sides of the Kummer pairing (for Kummer extension…
math.KT2002
K-Theory Tools For Local and Asymptotic Cyclic Cohomology
Vahid Shirbisheh
A generalization of Connes-Thom isomorphism is given for stable, homotopy invariant, and split exact functors on separable -algebras. As examples of these functors, we concent…