This book, "A Groupoid Approach to C*-Algebras," edited by A. Dold and B. Eckmann and authored by Jean Renault, is published by Springer-Verlag in 1980. It provides a comprehensive treatment of the theory of C*-algebras from the perspective of groupoids. The content is divided into three main chapters: 1. **Locally Compact Groupoids**: This chapter covers definitions, notation, Haar systems, quasi-invariant measures, and continuous cocycles and skew-products. 2. **The C*-Algebra of a Groupoid**: It discusses convolution algebras, induced representations, amenable groupoids, the C*-algebra of an r-discrete principal groupoid, automorphism groups, KMS states, and crossed products. 3. **Some Examples**: This chapter explores approximately-finite groupoids and specific groupoids like O_n. The book also includes an appendix on the dimension group of the GICAR algebra, references, a notation index, and a subject index. The AMS Subject Classifications (1980) for this work are 22D25, 46L05, 54H15, and 54H20.This book, "A Groupoid Approach to C*-Algebras," edited by A. Dold and B. Eckmann and authored by Jean Renault, is published by Springer-Verlag in 1980. It provides a comprehensive treatment of the theory of C*-algebras from the perspective of groupoids. The content is divided into three main chapters: 1. **Locally Compact Groupoids**: This chapter covers definitions, notation, Haar systems, quasi-invariant measures, and continuous cocycles and skew-products. 2. **The C*-Algebra of a Groupoid**: It discusses convolution algebras, induced representations, amenable groupoids, the C*-algebra of an r-discrete principal groupoid, automorphism groups, KMS states, and crossed products. 3. **Some Examples**: This chapter explores approximately-finite groupoids and specific groupoids like O_n. The book also includes an appendix on the dimension group of the GICAR algebra, references, a notation index, and a subject index. The AMS Subject Classifications (1980) for this work are 22D25, 46L05, 54H15, and 54H20.