As of Chrome 45 Google has removed the NPAPI from Chrome. This has the following implications:
SAP GUI for HTML
SAP Kernel should be updated to the patches listed in SAP Note 2208040 in order to use SAP GUI for HTML with Chrome. The reason is that the interaction with the client PC in SAP GUI for HTML was tightly dependent on a Java Applet. SAP has replaced this Applet by an alternative technology.
SAP Screen Personas 2.0
SAP Screen Personas 2.0 only runs in browsers supporting Silverlight plug-ins. Please refer to SAP Note 1884539 for more information. You can either run SAP Screen Personas 2.0 in a browser other than Google Chrome or you can use SAP Screen Personas 3.0 which is based on SAP GUI for HTML.