The C*-alegbras of the Heisenberg Group and of thread-like Lie groups

TL;DR

This paper characterizes the C*-algebras associated with the Heisenberg group and thread-like Lie groups using the framework of operator fields, providing a structural understanding of these mathematical objects.

Contribution

It offers a novel description of the C*-algebras of specific Lie groups in terms of operator fields, advancing the understanding of their algebraic structure.

Findings

C*-algebras of the Heisenberg group are described via operator fields.

C*-algebras of thread-like Lie groups are characterized similarly.

Provides a unified framework for understanding these C*-algebras.

Abstract

We describe the C*-algebras of the Heisenberg group H_n, n\geq 1, and the thread-like Lie group G_N, N\geq 3, in terms of C*-algebras of operator fields.