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Introduction

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Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2136))

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Abstract

Denote by B(H) the algebra of bounded linear operators on the Hilbert space H. Recall that B(H) is naturally endowed with an involution x ↦ x ∗ associating with an operator x its adjoint x ∗.

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Notes

  1. 1.

    Freeness is the analogue of independence in the noncommutative framework of II 1-factors. For a formal definition we refer the reader to [147].

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Authors and Affiliations

  1. Center for Mathematics and Computer Science (CWI), Amsterdam, The Netherlands

    Valerio Capraro

  2. Department of Mathematics, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA, 91125, USA

    Martino Lupini

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  1. Valerio Capraro
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  2. Martino Lupini
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Correspondence to Valerio Capraro .

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Capraro, V., Lupini, M. (2015). Introduction. In: Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture. Lecture Notes in Mathematics, vol 2136. Springer, Cham. https://doi.org/10.1007/978-3-319-19333-5_1

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