If I buy a 50% interest in my home for a buck, do I pay taxes?

Last week I did a quit-claim deed on my deceased father's home. I deeded the home to my brother and myself as joint-tenants WROS, which I thought was the intent of my father's will. Now a lawyer tells me that this was a mistake. I should have put the house entirely in my name, because my brother has a mental disability. The will permits me to do this. But won't this be a taxable event for my brother--selling or gifting my brother's 50% interest in the house to myself? Will my brother avoid taxes if he sells his 50% interest in the house to me for a $1? I live in Michigan.