On a C*-algebra of matrix-bounded operators
Vladimir Manuilov (Moscow State University)
10:00-11:00, May 10, 2019 Science Building A510
Abstract:
We discuss the C*-algebra generated by bounded operators with matrices (with respect to a fixed basis) such that each row and each column has not more than a fixed number of non-zero elements. This C*-algebra in some aspects behaves like the algebra of all bounded operators (e.g. satisfies the Kuiper theorem), but is not a von Neumann algebra and has more ideals. It can be obtained as the direct limit of the uniform Roe algebras of bounded geometry metrics on N
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