Large subalgebras of crossed products of $C(X)$-algebras

TL;DR

This paper constructs large subalgebras within crossed product C*-algebras derived from ideals, providing insights into noncommutative dynamics and applications to specific algebraic structures like mapping tori.

Contribution

It introduces a method to build large subalgebras of crossed products from ideals, advancing understanding of noncommutative C*-dynamics.

Findings

Construction of large subalgebras from ideals

Application to locally trivial $C(X)$-algebras

Analysis of mapping tori structures

Abstract

In this paper, we construct large subalgebras of crossed product C*-algebras of noncommutative C*-dynamics from ideals. We apply our results to study locally trivial unital $C(X)$-algebras such as mapping tori.