Category of Noncommutative CW complexes. III

Publication date: 4 November 2002

Abstract: We prove in this paper a noncommutative version of Leray Spectral Sequence Theorem and then Leray-Serre Spectral Theorem for noncommutative Serre fibrations: for NC Serre fibration there are converging spectral sequences with

E^{2}

terms as

E_{p, q}^{2} = H P_{p} (A; H P_{q} (B, A)) L o n g r i g h t a r r o w H P_{p + q} (B)

and

E_{p, q}^{2} = H P_{p} (A; K_{q} (B, A)) L o n g r i g h t a r r o w K_{p + q} (B)

.

Mathematics Subject Classification ID

Noncommutative topology (46L85) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

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