A seven-year project to bring a dedicated cancer center to Brockton is finally coming to fruition, with Signature Healthcare constructing its Beth Israel Deaconess-affiliated space slated to open this fall.

Signature, an independent hospital affiliated with Beth Israel Deaconess Medical Center, had served cancer patients in the past, offering radiation services through a joint venture with Vantage Oncology — now McKesson Corporation.

The new 36,000-square-foot, two-story facility adjacent to…