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"Cuntz-Krieger algebras associated to self-similar groupoids" by Isnie Yusnitha

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 deal with addition of larger integers. Analogous to this carrying operation there is so-called a restriction map that encodes self-similarity property.
In the 1980s, Grigorchuk, Gupta, and Sidki were among the pioneers who introduced the concept of self-similar groups to address the question of whether there exist groups with intermediate growth. These groups exhibit self-similarity in their act ....

Row Finite Graphs , Elf Similar Groupoids , Niqueness Theorems , Ideal Structures ,

Detailed text transcripts for TV channel - MSNBC - 20150104:12:42:00

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 are ways of doing this so don t reinvent the wheel. use existing standard kind of term sheets and deal structures. great. thank you so much for giving us insight. i know a lot of people are looking for money. how do you find good angels? on gust.com or going to your local angel group. there are hundreds of angel groups in every state in the u.s. and virtually every company in the world. and those ....

The Business , Dont Reinvent The Wheel , Angel Investor , Capital Structure , The Sun , Ideal Structures , Davids Rose , Angel Group , Gust Com , Angel Groups ,

Detailed text transcripts for TV channel - MSNBC - 20140601:11:42:00

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 giving us insight. i know a lot of people are out there looking for money. one quick way, how do you find good angels? you can find good angels on gust.com or going to your local angel group. there are hundreds of angel groups in every state in the u.s., and virtually every country in the world. and that s those are angels who are pro-actively looking for new businesses like yours. okay. great. th ....

Angel Investor , Capital Structure , The Sun , Ideal Structures , Dont Reinvent The Wheel , Angel Group , Angel Groups , Davids Rose ,