An involuntary Chapter 7 debtor may convert to a Chapter 11 or 13. If an involuntary Chapter 7 case is converted to Chapter 11, the converted Chapter 11 debtor can convert back to Chapter 7 without notice or hearing, provided that the debtor remained in possession of the property. An involuntary Chapter 11 debtor does not have an absolute right of conversion. (11 USC 1112(a)(2))