Julia is correct, in that it is only your share of the equity which would be available to creditors under insolvency proceedings. Depending upon your other circumstances - creditors may be happy to accept a portion of the equity, but this would depend upon the level of the offer you were making to them.
The most usual equity release provision operated by creditors these days is for you to have the property revalued during the final year of the arrangement, and then to raise equity based upon a remortgage at 85% loan to value of the property. Your share only would then need to be introduced, leaving your partner's intact.
Regards, Melanie Giles, Insolvency Practitioner for over 20 years.
For further details contact me at
http://www.melaniegiles.com and view my IVA blog at:
http://melaniegiles.blogs.iva.co.uk