This is not a yucca glauca, if you notice the other images show needle like leaves, and yuccas are rarely houseplants to my knowledge. . This looks like a Dracaena of some sort but I am unsure which one. Perhaps you can post it in the Plant ID forum and someone can get a better ID.

Oops. The tag says Yucca Elephantipes and "Cane Plant."

Ok, I'll move it over to Yucca gigantea, Yucca elephantipes is a synonym.

It is not a Yucca.... maybe a Dracaena? I'd check the Plant ID forum for some more specific ideas.

I thought it looked very much like yucca gigantea, The leaves should be slightly serrated if it is.
If you look closely you can see they are.

Yes. You are right. I am not used to the concept of indoor yuccas, but they seem to do just fine.

Yes baja they really add a vocal point to a room! I'm not familiar with outdoor yuccas.. but I have a gigantea like indoorplants and its probably the only safe yucca for indoors! However you still need to be cautious with this type if children are about! althought they don't have spines the leaf tips can still be somewhat sharp and the serrated leaves can tear skin if you brush past them in a hurry!