Groupoids, Inverse Semigroups and their Operator Algebras

In the 1990s, it has become increasingly clear that there are important mathematical connections relating the three mathematical concepts - groupoids, inverse semigroups, and operator algebras. There has been much progress in this area and this text presents an account of the subject. The book should appeal to professional mathematicians and graduate students in fields such as operator algebars, analysis of groupoids, semi-group theory, and noncommutative geometry. It should also be of interest to mathematicians interested in tilings and to theoretical physicists whose focus is modelling quasicrystals with tilings.