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In this thesis, we study self-similar actions of groupoids on row-finite directed graphs and their associated Cuntz-Krieger algebras. Roughly speaking, if for all scales of parts of the object reiterate the whole, then the object is self-similar. For algebraic objects such as groups or groupoids that have this self-similarity property, we simply call them selfsimilar groups or self-similar groupoids. As an illustration of this self-similarity property, we recall the addition algorithm of integers that we learned from primary school, there is a so-called carrying operation that takes place to d...

The big players in RIA M&A may be putting on a good face. But debt-heavy acquirers are feeling the impacts of the market environment, and it isn’t pretty.

Business to be investable by angels it has to be something where there is a significant upside. >> okay. and then finally don't reinvent the wheel. i cannot say how important this is. lots of this stuff has already been done. >> absolutely. everything has been done. there are very few new things under the sun. so if you come in to an angel investor with a very strange capital structure or you're looking for weird notes or terms, or you've done strange deals with friends and family, it's just going to screw it up. >> yand it looks weird. it looks questionable, right, what's the point? >> there ...

Is. lots of this stuff has already been done. >> absolutely. everything has been done. >> right. >> there are very few new things under the sun. and so if you come in to an angel investor with a very strange capital structure, or you're looking for weird notes or terms, or you've done strange deals with friends and family, it's just going to screw it up. >> yeah. and it looks weird. it looks questionable, right? what's the point? >> there are ways of doing this and so don't reinvent the wheel. use existing standard kind of term sheets and deal structures. >> okay, great. thank you so much for ...