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As your wife has voluntarily removed herself from the house, she has given up her right to live there. As such, you may change the locks to prohibit her from simply coming in as she pleases. If she comes again and calls the police in an attempt to gain entry, simply tell them that she left 8 months ago, she has moved out her personal belongings, she no longer gets mail there, she has obtained a new address. That should resolve that issue.
I would suggest that you should look into hiring a family law attorney in the area. You are now experiencing what you should NOT simply allow things to remain as they are; you're having difficulties with the house, difficulties with her attempting to return and wondering what to do with the equity in the home.
As to the equity, in general, you are each entitled to 1/2 of the equity that accumulated during the marriage.
These things are not a big deal. While I listed them in my initial post, they were simply arguments to be used in your favor, no one of them is controlling. However, to make your argument stronger, it would be beneficial to have ALL her items removed and to have the mail forwarded. Regardless, she has still given up her right to reside in the home.