20 citations · 102 across the 71 of their papers we have counts for
4 papers · 1 filter
K-theory of cluster C*-algebras
Igor Nikolaev
It is proved that the K_0-group of a cluster C*-algebra is isomorphic to the corresponding cluster algebra. As a corollary, one gets a shorter proof of the positivity conjecture fo…
On cluster C*-algebras
Igor Nikolaev
We introduce a C*-algebra A(x,Q) attached to the cluster x and a quiver Q. If Q(T) is the quiver coming from a triangulation T of the Riemann surface S with a finite number of cusp…
Langlands reciprocity for C*-algebras
Igor Nikolaev
We introduce a -algebra of a variety over the number field and a -algebra of a reductive group over the ring of adeles of .…
Notes on noncommutative geometry
Igor Nikolaev
The book covers basics of noncommutative geometry and its applications in topology, algebraic geometry and number theory. A brief survey of main parts of noncommutative geometry wi…