The impact of technology in the world's panorama is at an all-time high. Advanced media applications enabling immersive communication are becoming ubiquitous in our lives, and there is a global trend to adopt virtual solutions to support day-today business operations, social events, and general lifestyle. A subset of these innovative media applications includes Virtual Reality, Augmented Reality, and Holography, but they do not come without their share of challenges and requirements. To enable a satisfactory user experience, the requirements for the computing platform and its underlying network can be considered extreme and far from what can be attainable today. Hence, we propose a Cloud for Holography and Cross Reality (CHARITY), which is a complete framework that attempts to overcome the challenges and meet the requirements of such applications. CHARITY leverages an innovative cloud architecture that exploits edge solutions, a computing and network continuum autonomous orchestration, application-driven interfacing, mechanisms for smart, adaptive and efficient resource management, strong community involvement, and overreaching compatibility with all infrastructure vendors. This integrated framework will be put into test in a broad diversity of use cases targeted at advanced media applications, such as holographic events, virtual reality training, and mixed reality entertainment. CHARITY expects to deliver a working prototype, validated by the most demanding applications, capable of being demonstrated at dissemination events and exploited by a large community of users and companies outside the consortium, paving the way to the mass adoption of more advanced media applications in the market.