Salesforce Static variable with dynamic assignment

CaseTrigger.java

MyObject__c obj = MyObjectUtils.myObjectMap.get('Foo');

myObjectUtils.java

public with sharing class MyObjectUtils {
     public static List<MyObject__c> myObjectList {
          get {
               if (myObjectList == null) {
                    myObjectList = [
                         select Name
                         from MyObject__c
                    ];
               }

               return myObjectList;
          }
          set;
     }

     public static Map<String, MyObject__c> myObjectMap {
          get {
               if (myObjectMap == null) {
                    myObjectMap = new Map<String, MyObject__c>();
                    for (MyObject__c obj: myObjectList) {
                         myObjectMap.put(obj.Name, obj);
                    }
               }

               return myObjectMap;
          }
          set;
     }
}