# 2 Fredholm Operators and $K$-theory

It is difficult to directly connect Clifford algebras to $K$-theory. Instead, we have to find an alternative model for $K$-theory. One such model is given by the space of Fredholm operators.

Clifford Algebras and Bott PeriodicityFredholm Operators and $K$-theory

It is difficult to directly connect Clifford algebras to $K$-theory. Instead, we have to find an alternative model for $K$-theory. One such model is given by the space of Fredholm operators.