In these notes we discuss the canonical anticommutation
relations, the C*-algebra associated with them (the CAR algebra),
Fermionic second quantization, and the construction of KMS states
for so-called free Fermi gasses. We only scratch the surface,
but references are given for further study.
These are unpolished notes supplementing one or two of the
lectures given during a course on C*-algebras during the
fall of 1998, and are offered "as is".