Hilbert C*-modules are similar to Hilbert spaces, but rather than having a complex-valued inner product, their inner product results in a C*-algebra. The theory surrounding these modules, along with their various operators, both bounded and unbounded, is not only profound and intriguing on its own but also serves as a foundational framework for significant research areas within operator algebras. This textbook, Hilbert C*-Modules: A Toolkit for Operator Algebraists (London Mathematical Society Lecture Note Series Book 210), is the result of a series of lectures delivered by Professor Lance at a summer school hosted by the University of Trondheim. It presents, for the first time, a comprehensive and coherent overview of the primary methods and findings in this field, featuring a considerable amount of new and previously unpublished content. Graduate students and researchers engaged in operator algebras will find it to be an invaluable resource.
978-1316698198, 978-0511526206, 978-0521479103
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