5 papers
Morse Theory for C*-Algebras: A Geometric Interpretation of Some Noncommutative Manifolds
Vida Milani, Seyed M. H. Mansourbeigi, Ali Asghar Rezaei
The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. These object…
The Space of Integrable Dirac Structures on Hilbert C*-Modules
Vida Milani, Seyed M. H. Mansourbeigi, Hassan Arianpoor
In this paper we interpret the integrability of the Dirac structures on some Hilbert C*-modules in terms of an automorphism group. This is the group of orthogonal transformations o…
An Example of the Curvature Tensor for a Quantum Space
Vida Milani, Seyed M. H. Mansourbeigi, Farzaneh Falahati
The paper is constructed in two parts.In the first part we introduce the concept of the algebra of Q-meromorphic functions on the quantum plane.The A (q)-algebra of Q-analytic func…
Some Noncommutative Constructions and Their Associated NCCW Complexes
Vida Milani, Ali Asghar Rezaei
In this article some noncommutative topological objects such as NC mapping cone and NC mapping cylinder are introduced. We will see that these objects are equipped with the NCCW co…
-Meromorphic Functions, Quantums sets and Homomorphisms of the Quantum Plane
A. Shafei Deh Abad, V. Milani
In this paper which is the completion of [1], we construct the -algebra of -meromorphic functions on the quantum plane. This is the largest non-commutative, associative,…