Operator algebras from toposes
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| Title | Operator algebras from toposes |
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| Part Number | 25 |
| Number of Parts | 28 |
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| License | You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. |
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| Abstract | Abstract: Grothendieck Toposes and $C^*$-algebras are two distinct generalizations of the concept of topological space and there is a lot of examples of objects to which one can attach both a topos and a $C^*$-algebra in order to study there properties: dynamical systems, foliations, Graphs, Automaton, topological groupoids etc. It is hence a natural question to try to understand the relation between these two sort different object. In this talk I will explain how to attach $C^*$-algebras and Von Neuman al
gebras to (reasonable) toposes, in a way that recover the $C^*$-algebra attached to all the above examples. |
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