Hilbert $C^*$-bimodules over commutative $C^*$-algebras and an isomorphism condition for quantum Heisenberg manifolds

TL;DR

This paper investigates Hilbert C*-bimodules over commutative C*-algebras and uses these insights to determine when two quantum Heisenberg manifolds are isomorphic, advancing understanding in noncommutative geometry.

Contribution

It provides a new isomorphism condition for quantum Heisenberg manifolds based on the structure of Hilbert C*-bimodules over commutative C*-algebras.

Findings

Established a sufficient condition for isomorphism of quantum Heisenberg manifolds

Analyzed the structure of Hilbert C*-bimodules over commutative C*-algebras

Connected bimodule properties to quantum manifold isomorphisms

Abstract

A study of Hilbert $C^*$-bimodules over commutative $C^*$-algebras is carried out and used to establish a sufficient condition for two quantum Heisenberg manifolds to be isomorphic.