Non-Associative Geometry of Quantum Tori

Abstract

We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a "principal bundle" construction, where the total space is a quasi-associative deformation of a 3-dimensional Heisenberg manifold.

References in corpus (8)

• An Introduction to Noncommutative Spaces and their Geometry
• Quantum group gauge theory on quantum spaces
• Categories of holomorphic vector bundles on noncommutative two-tori
• Strong Connections on Quantum Principal Bundles
• Pimsner algebras and Gysin sequences from principal circle actions
• Pimsner algebras and circle bundles
• Modules over the Noncommutative Torus and Elliptic Curves
• Topics in Noncommutative Geometry

Cited by in corpus (3)

• Working with Nonassociative Geometry and Field Theory
• Tolerance Relations and Quantization
• Topics in Noncommutative Geometry