INVERSE SEMIGROUPS (2ND ED)

This extensively revised second edition of Inverse Semigroups offers a comprehensive and accessible introduction to the subject, aimed at graduate students and researchers across mathematics. First published in 1998 and still widely read, this seminal text has now been reorganized, updated, and expanded to reflect the many advances in the field over the past two decades.

Inverse semigroup theory continues to play a central role in modern mathematics, with growing significance in operator algebras — particularly C*-algebras — as well as in group theory, topos theory, and the study of partial symmetries. This edition incorporates substantial new material, culminating in two brand new chapters, which brings the theory fully up to date.

With no other contemporary text focused solely on inverse semigroups and their broadening web of applications, this volume is an essential resource for both newcomers and seasoned researchers alike.

Contents:

• Introduction to Inverse Semigroups
• Abstract Pseudogroups
• The Theorem of Ehresmann, Schein and Nambooripad
• Basic Concepts
• Examples of Inverse Semigroups
• E-Unitary Semigroups and E-Unitary Covers
• Inverse Semigroups Constructed from Actions
• Boolean Inverse Monoids
• Non-Commutative Stone Duality

Readership: The book is written for anyone with an undergraduate knowledge of mathematics. It is aimed at those with an interest in symmetry in all its forms. Those working in the theory of C*-algebras should find it particularly useful.