Course plan_篮球即时比分_nba比分直播-彩客网重点推荐

makotoy
2025-08-12T12:49:13.300Z
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www.uio.no

Welcome to the C*-algebra course!

Our plan is to cover the following topics, roughly in this order:

First examples of C*-algebras

Commutative case

Gelfand transform and functional calculus

Gelfand-Naimark theorem

Basic structure theory

Unitization Positive elements

Approximate units

Ideals and homomorphisms

Tensor products

von Neumann algebras

Operator topologies; von Neumann algebras

von Neumann's double commutant theorem

Kaplansky's density theorem

Representation theory of operator algebras

States; Gelfand-Naimark-Segal construction

Irreducible representations and pure states

Representations of algebras of compact operators; Voiculescu’s theorem

...