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Algebras in Analysis
April 12, 2019 18:05–19:35, Moscow, Lomonosov Moscow State University, room 13-20.

The spectrum of $L_\infty$

N. T. Nemesh

Abstract: It is well known that the space $L_\infty$ is a commutative $C^*$-algebra. By the Gelfand-Naimark theorem, it is isomorphic to the algebra of continuous functions on a compact topological space. I will describe this space and explain all auxiliary notions and theorems needed for the construction.