Digital twins play a key role in Industry 4.0 by enabling transparent and reliable access to asset information across distributed environments. However, current Asset Administration Shell editing solutions provide only limited support for concurrent modifications and often depend on centralized infrastructures and stable network connections. This paper introduces a CRDT-based approach for collaborative AAS editing that enables conflict-free, decentralized, and resilient modification of digital twins. The approach enhances interoperability and supports collaboration by allowing engineers to work simultaneously and intuitively on shared AAS models without overwriting changes. We present a design for mapping AAS structures to CRDTs, implement a functional prototype, and evaluate its behavior in representative industrial collaboration scenarios.