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## The Mackey analogy in representation theory

### Nigel Higson

Penn State University

###
Thursday, May 24, 2007

007 Kemeny Hall, 4 pm

Tea 3:30 pm, 300 Kemeny Hall

**Abstract: ** Through his fundamental work on induced
representations, George Mackey (1916-2006) was a key contributor to
the theory of infinite-dimensional unitary representations of groups.
The Mackey analogy is a proposal, due to Mackey, that there ought to
be a certain similarity between the unitary representations of Lie
groups and the unitary representations of "contractions" of these
groups. I shall try to explain this in my talk, and then explain how
C*-algebra theory and K-theory prompts us to take a new look at
Mackey's proposal.

This talk will be accessible to graduate students.