Boundaries and equivariant products in unbounded Kasparov theory
The thesis explores two distinct areas of noncommutative geometry: factorisation and boundaries. Both of these topics are concerned with cycles in Kasparov’s KK-theory which are defined using unbounded operators, and manipulating these cycles. These unbounded operators generalise the Dirac operators of classical geometry. The first topic of the thesis is factorisation, which is a process by which one attempts to represent the class of an equivariant spectral...[Show more]
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